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135802652376624 = 243174113487300967
BaseRepresentation
bin11110111000001100000100…
…110110101011111000110000
3122210211121101100011211212220
4132320030010312223320300
5120244442313002022444
61200454513252321040
740414263216123252
oct3670140466537060
9583747340154786
10135802652376624
113a2a8643998282
1213293569613180
135aa119ac76b2c
142576c52263cd2
1510a7812d86619
hex7b8304dabe30

135802652376624 has 160 divisors (see below), whose sum is σ = 380549679261696. Its totient is φ = 41562393354240.

The previous prime is 135802652376619. The next prime is 135802652376647. The reversal of 135802652376624 is 426673256208531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451070589 + ... + 451371555.

Almost surely, 2135802652376624 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 135802652376624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190274839630848).

135802652376624 is an abundant number, since it is smaller than the sum of its proper divisors (244747026885072).

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

135802652376624 is a wasteful number, since it uses less digits than its factorization.

135802652376624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314523 (or 314517 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 135802652376624 in words is "one hundred thirty-five trillion, eight hundred two billion, six hundred fifty-two million, three hundred seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 656 697 816 984 1394 1968 2091 2788 4182 5576 8364 11152 13487 16728 26974 33456 40461 53948 80922 107896 161844 215792 229279 300967 323688 458558 552967 601934 647376 687837 902901 917116 1105934 1203868 1375674 1658901 1805802 1834232 2211868 2407736 2751348 3317802 3611604 3668464 4423736 4815472 5116439 5502696 6635604 7223208 8847472 9400439 10232878 11005392 12339647 13271208 14446416 15349317 18800878 20465756 24679294 26542416 28201317 30698634 37018941 37601756 40931512 49358588 56402634 61397268 74037882 75203512 81863024 98717176 112805268 122794536 148075764 150407024 197434352 209773999 225610536 245589072 296151528 419547998 451221072 592303056 629321997 839095996 1258643994 1678191992 2517287988 3356383984 4059141929 5034575976 8118283858 10069151952 12177425787 16236567716 24354851574 32473135432 48709703148 64946270864 69005412793 97419406296 138010825586 166424819089 194838812592 207016238379 276021651172 332849638178 414032476758 499274457267 552043302344 665699276356 828064953516 998548914534 1104086604688 1331398552712 1656129907032 1997097829068 2662797105424 2829221924513 3312259814064 3994195658136 5658443849026 7988391316272 8487665773539 11316887698052 16975331547078 22633775396104 33950663094156 45267550792208 67901326188312 135802652376624