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52151064900 = 223521117929609
BaseRepresentation
bin110000100100011100…
…100001100101000100
311222121111102120221020
4300210130201211010
51323301133034100
635542522151140
73524231510664
oct604434414504
9158544376836
1052151064900
1120131a09a40
12a1353524b0
134bc15c98ac
14274a2b01a4
1515536475a0
hexc24721944

52151064900 has 144 divisors (see below), whose sum is σ = 174290719680. Its totient is φ = 11898982400.

The previous prime is 52151064881. The next prime is 52151064923. The reversal of 52151064900 is 946015125.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 408705 + ... + 520904.

It is an arithmetic number, because the mean of its divisors is an integer number (1210352220).

Almost surely, 252151064900 is an apocalyptic number.

52151064900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52151064900 is an abundant number, since it is smaller than the sum of its proper divisors (122139654780).

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

52151064900 is a wasteful number, since it uses less digits than its factorization.

52151064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929654 (or 929647 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 52151064900 in words is "fifty-two billion, one hundred fifty-one million, sixty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 929609 1859218 2788827 3718436 4648045 5577654 9296090 10225699 11155308 13944135 15803353 18592180 20451398 23240225 27888270 30677097 31606706 40902796 46480450 47410059 51128495 55776540 61354194 63213412 69720675 79016765 92960900 94820118 102256990 122708388 139441350 153385485 158033530 173836883 189640236 204513980 237050295 255642475 278882700 306770970 316067060 347673766 395083825 474100590 511284950 521510649 613541940 695347532 766927425 790167650 869184415 948201180 1022569900 1043021298 1185251475 1533854850 1580335300 1738368830 2086042596 2370502950 2607553245 3067709700 3476737660 4345922075 4741005900 5215106490 8691844150 10430212980 13037766225 17383688300 26075532450 52151064900