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155055666560 = 2752367157219
BaseRepresentation
bin1001000001101000001…
…0011011010110000000
3112211020002120222121012
42100122002123112000
510020023222312220
6155122005020052
714126265263624
oct2203202332600
9484202528535
10155055666560
115a838977283
12260739b4628
1311810acb732
14770cdc3184
15407787eac5
hex241a09b580

155055666560 has 128 divisors (see below), whose sum is σ = 392572051200. Its totient is φ = 58439817216.

The previous prime is 155055666547. The next prime is 155055666587. The reversal of 155055666560 is 65666550551.

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 (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 155055666499 and 155055666508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907631 + ... + 1064849.

It is an arithmetic number, because the mean of its divisors is an integer number (3066969150).

Almost surely, 2155055666560 is an apocalyptic number.

155055666560 is a gapful number since it is divisible by the number (10) 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 155055666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196286025600).

155055666560 is an abundant number, since it is smaller than the sum of its proper divisors (237516384640).

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

155055666560 is a wasteful number, since it uses less digits than its factorization.

155055666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157328 (or 157316 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 50.

The spelling of 155055666560 in words is "one hundred fifty-five billion, fifty-five million, six hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 67 80 92 115 128 134 160 184 230 268 320 335 368 460 536 640 670 736 920 1072 1340 1472 1541 1840 2144 2680 2944 3082 3680 4288 5360 6164 7360 7705 8576 10720 12328 14720 15410 21440 24656 30820 42880 49312 61640 98624 123280 157219 197248 246560 314438 493120 628876 786095 986240 1257752 1572190 2515504 3144380 3616037 5031008 6288760 7232074 10062016 10533673 12577520 14464148 18080185 20124032 21067346 25155040 28928296 36160370 42134692 50310080 52668365 57856592 72320740 84269384 100620160 105336730 115713184 144641480 168538768 210673460 231426368 242274479 289282960 337077536 421346920 462852736 484548958 578565920 674155072 842693840 969097916 1157131840 1211372395 1348310144 1685387680 1938195832 2314263680 2422744790 3370775360 3876391664 4845489580 6741550720 7752783328 9690979160 15505566656 19381958320 31011133312 38763916640 77527833280 155055666560