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155311090816 = 2776111325147
BaseRepresentation
bin1001000010100101000…
…0110010110010000000
3112211212220012212210211
42100221100302302000
510021034114401231
6155203211403504
714135516330020
oct2205120626200
9484786185724
10155311090816
115a95a075302
1226125453594
13118519c004b
147734cb1a80
15408eed5eb1
hex2429432c80

155311090816 has 128 divisors (see below), whose sum is σ = 362601970560. Its totient is φ = 64888750080.

The previous prime is 155311090787. The next prime is 155311090897. The reversal of 155311090816 is 618090113551.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 6163555 + ... + 6188701.

It is an arithmetic number, because the mean of its divisors is an integer number (2832827895).

Almost surely, 2155311090816 is an apocalyptic number.

155311090816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155311090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181300985280).

155311090816 is an abundant number, since it is smaller than the sum of its proper divisors (207290879744).

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

155311090816 is a wasteful number, since it uses less digits than its factorization.

155311090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25342 (or 25330 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 40.

The spelling of 155311090816 in words is "one hundred fifty-five billion, three hundred eleven million, ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 113 122 128 224 226 244 427 448 452 488 791 854 896 904 976 1582 1708 1808 1952 3164 3416 3616 3904 6328 6832 6893 7232 7808 12656 13664 13786 14464 25147 25312 27328 27572 48251 50294 50624 54656 55144 96502 100588 101248 110288 176029 193004 201176 220576 352058 386008 402352 441152 704116 772016 804704 882304 1408232 1533967 1544032 1609408 2816464 2841611 3067934 3088064 3218816 5632928 5683222 6135868 6176128 10737769 11265856 11366444 12271736 19891277 21475538 22531712 22732888 24543472 39782554 42951076 45465776 49086944 79565108 85902152 90931552 98173888 159130216 171804304 173338271 181863104 196347776 318260432 343608608 346676542 363726208 636520864 687217216 693353084 1213367897 1273041728 1374434432 1386706168 2426735794 2546083456 2773412336 4853471588 5546824672 9706943176 11093649344 19413886352 22187298688 38827772704 77655545408 155311090816