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151151000660 = 2251137109716927
BaseRepresentation
bin1000110011000101001…
…1010011110001010100
3112110010222021101221122
42030301103103301110
54434024124010120
6153234322303112
713630443210212
oct2146123236124
9473128241848
10151151000660
1159114887a70
12253641b7a98
131133ab78b3a
14745c5a7cb2
153de9b8ba25
hex23314d3c54

151151000660 has 96 divisors (see below), whose sum is σ = 355977151488. Its totient is φ = 53426580480.

The previous prime is 151151000579. The next prime is 151151000681. The reversal of 151151000660 is 66000151151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8921117 + ... + 8938043.

It is an arithmetic number, because the mean of its divisors is an integer number (3708095328).

Almost surely, 2151151000660 is an apocalyptic number.

151151000660 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 151151000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177988575744).

151151000660 is an abundant number, since it is smaller than the sum of its proper divisors (204826150828).

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

151151000660 is a wasteful number, since it uses less digits than its factorization.

151151000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18081 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 151151000660 in words is "one hundred fifty-one billion, one hundred fifty-one million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1097 1628 2035 2194 4070 4388 5485 8140 10970 12067 16927 21940 24134 33854 40589 48268 60335 67708 81178 84635 120670 162356 169270 186197 202945 241340 338540 372394 405890 446479 626299 744788 811780 892958 930985 1252598 1785916 1861970 2232395 2505196 3131495 3723940 4464790 6262990 6889289 8929580 12525980 13778578 18568919 27557156 34446445 37137838 68892890 74275676 92844595 137785780 185689190 204258109 371378380 408516218 687050003 817032436 1021290545 1374100006 2042581090 2748200012 3435250015 4085162180 6870500030 7557550033 13741000060 15115100066 30230200132 37787750165 75575500330 151151000660