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148899985865424 = 24332334831306209
BaseRepresentation
bin100001110110110001111010…
…110000111011101011010000
3201112012200220000210220201000
4201312301322300323223100
5124004034132340143144
61244403413103342000
743235445312656223
oct4166617260735320
9645180800726630
10148899985865424
114349814722a802
1214849993bb1900
136511292b821b1
1428aab251135ba
15123336c5da769
hex876c7ac3bad0

148899985865424 has 160 divisors (see below), whose sum is σ = 429322685875200. Its totient is φ = 49409918853120.

The previous prime is 148899985865417. The next prime is 148899985865483. The reversal of 148899985865424 is 424568589998841.

It is a happy number.

148899985865424 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 9 + 9 + 9 + 8 + 58 + 6 + 542 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486116032 + ... + 486422240.

It is an arithmetic number, because the mean of its divisors is an integer number (2683266786720).

Almost surely, 2148899985865424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148899985865424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214661342937600).

148899985865424 is an abundant number, since it is smaller than the sum of its proper divisors (280422700009776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148899985865424 is a wasteful number, since it uses less digits than its factorization.

148899985865424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311290 (or 311278 counting only the distinct ones).

The product of its digits is 57330892800, while the sum is 90.

The spelling of 148899985865424 in words is "one hundred forty-eight trillion, eight hundred ninety-nine billion, nine hundred eighty-five million, eight hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 233 432 466 699 932 1398 1864 2097 2796 3728 4194 4831 5592 6291 8388 9662 11184 12582 14493 16776 19324 25164 28986 33552 38648 43479 50328 57972 77296 86958 100656 115944 130437 173916 231888 260874 306209 347832 521748 612418 695664 918627 1043496 1125623 1224836 1837254 2086992 2251246 2449672 2755881 3376869 3674508 4502492 4899344 5511762 6753738 7349016 8267643 9004984 10130607 11023524 13507476 14698032 16535286 18009968 20261214 22047048 27014952 30391821 33070572 40522428 44094096 54029904 60783642 66141144 71346697 81044856 121567284 132282288 142693394 162089712 214040091 243134568 285386788 428080182 486269136 570773576 642120273 856160364 1141547152 1284240546 1479295679 1712320728 1926360819 2568481092 2958591358 3424641456 3852721638 4437887037 5136962184 5917182716 7705443276 8875774074 10273924368 11834365432 13313661111 15410886552 17751548148 23668730864 26627322222 30821773104 35503096296 39940983333 53254644444 71006192592 79881966666 106509288888 159763933332 213018577776 319527866664 344675893207 639055733328 689351786414 1034027679621 1378703572828 2068055359242 2757407145656 3102083038863 4136110718484 5514814291312 6204166077726 8272221436968 9306249116589 12408332155452 16544442873936 18612498233178 24816664310904 37224996466356 49633328621808 74449992932712 148899985865424