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146253681839616 = 2931331323400649
BaseRepresentation
bin100001010000010001010110…
…110000001100111000000000
3201011211201022112220210001220
4201100101112300030320000
5123132210020022331431
61235020003000155040
742543323401616301
oct4120212660147000
9634751275823056
10146253681839616
11426679246334aa
12144a0b3a168a80
13637b880864cb0
142818a048a27a8
1511d95d9618b96
hex850456c0ce00

146253681839616 has 160 divisors (see below), whose sum is σ = 420941001280800. Its totient is φ = 44857357369344.

The previous prime is 146253681839563. The next prime is 146253681839623. The reversal of 146253681839616 is 616938186352641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5450341 + ... + 17950308.

It is an arithmetic number, because the mean of its divisors is an integer number (2630881258005).

Almost surely, 2146253681839616 is an apocalyptic number.

146253681839616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146253681839616 is an abundant number, since it is smaller than the sum of its proper divisors (274687319441184).

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

146253681839616 is a wasteful number, since it uses less digits than its factorization.

146253681839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23400996 (or 23400980 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 69.

The spelling of 146253681839616 in words is "one hundred forty-six trillion, two hundred fifty-three billion, six hundred eighty-one million, eight hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 313 384 416 512 624 626 768 832 939 1248 1252 1536 1664 1878 2496 2504 3328 3756 4069 4992 5008 6656 7512 8138 9984 10016 12207 15024 16276 19968 20032 24414 30048 32552 40064 48828 60096 65104 80128 97656 120192 130208 160256 195312 240384 260416 390624 480768 520832 781248 1041664 1562496 2083328 3124992 6249984 23400649 46801298 70201947 93602596 140403894 187205192 280807788 304208437 374410384 561615576 608416874 748820768 912625311 1123231152 1216833748 1497641536 1825250622 2246462304 2433667496 2995283072 3650501244 4492924608 4867334992 5990566144 7301002488 7324403137 8985849216 9734669984 11981132288 14602004976 14648806274 17971698432 19469339968 21973209411 29204009952 29297612548 35943396864 38938679936 43946418822 58408019904 58595225096 77877359872 87892837644 95217240781 116816039808 117190450192 155754719744 175785675288 190434481562 233632079616 234380900384 285651722343 351571350576 380868963124 467264159232 468761800768 571303444686 703142701152 761737926248 937523601536 1142606889372 1406285402304 1523475852496 1875047203072 2285213778744 2812570804608 3046951704992 3750094406144 4570427557488 5625141609216 6093903409984 9140855114976 11250283218432 12187806819968 18281710229952 24375613639936 36563420459904 48751227279872 73126840919808 146253681839616