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155105010216 = 23331357196737
BaseRepresentation
bin1001000001110011111…
…0101010001000101000
3112211100112102220101000
42100130332222020220
510020123340311331
6155130530355000
714130434555652
oct2203476521050
9484315386330
10155105010216
115a863809962
122608842ba60
131181b0b7170
1477157896d2
15407bd7a0e6
hex241cfaa228

155105010216 has 128 divisors (see below), whose sum is σ = 464806742400. Its totient is φ = 47640545280.

The previous prime is 155105010197. The next prime is 155105010233. The reversal of 155105010216 is 612010501551.

155105010216 is a `hidden beast` number, since 1 + 551 + 0 + 5 + 0 + 102 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 155105010216.

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, 1555000 + ... + 1651736.

It is an arithmetic number, because the mean of its divisors is an integer number (3631302675).

Almost surely, 2155105010216 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 155105010216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232403371200).

155105010216 is an abundant number, since it is smaller than the sum of its proper divisors (309701732184).

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

155105010216 is a wasteful number, since it uses less digits than its factorization.

155105010216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97336 (or 97326 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 155105010216 its reverse (612010501551), we get a palindrome (767115511767).

The spelling of 155105010216 in words is "one hundred fifty-five billion, one hundred five million, ten thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 571 702 936 1142 1404 1713 2284 2808 3426 4568 5139 6852 7423 10278 13704 14846 15417 20556 22269 29692 30834 41112 44538 59384 61668 66807 89076 96737 123336 133614 178152 193474 200421 267228 290211 386948 400842 534456 580422 773896 801684 870633 1160844 1257581 1603368 1741266 2321688 2515162 2611899 3482532 3772743 5030324 5223798 6965064 7545486 10060648 10447596 11318229 15090972 20895192 22636458 30181944 33954687 45272916 55236827 67909374 90545832 110473654 135818748 165710481 220947308 271637496 331420962 441894616 497131443 662841924 718078751 994262886 1325683848 1436157502 1491394329 1988525772 2154236253 2872315004 2982788658 3977051544 4308472506 5744630008 5965577316 6462708759 8616945012 11931154632 12925417518 17233890024 19388126277 25850835036 38776252554 51701670072 77552505108 155105010216