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151390553700 = 223521917013769
BaseRepresentation
bin1000110011111110010…
…1001000011001100100
3112110202200000221221110
42030333211020121210
54440021440204300
6153314200545020
713636412321451
oct2147745103144
9473680027843
10151390553700
1159228025791
1225410482170
13113786a13b9
147482324828
153e10c0a550
hex233f948664

151390553700 has 144 divisors (see below), whose sum is σ = 441061770240. Its totient is φ = 40091520000.

The previous prime is 151390553653. The next prime is 151390553711. The reversal of 151390553700 is 7355093151.

151390553700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40165416 + ... + 40169184.

It is an arithmetic number, because the mean of its divisors is an integer number (3062928960).

Almost surely, 2151390553700 is an apocalyptic number.

151390553700 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 151390553700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220530885120).

151390553700 is an abundant number, since it is smaller than the sum of its proper divisors (289671216540).

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

151390553700 is a wasteful number, since it uses less digits than its factorization.

151390553700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 70875, while the sum is 39.

The spelling of 151390553700 in words is "one hundred fifty-one billion, three hundred ninety million, five hundred fifty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 701 764 955 1146 1402 1910 2103 2292 2804 2865 3505 3769 3820 4206 4775 5730 7010 7538 8412 9550 10515 11307 11460 14020 14325 15076 17525 18845 19100 21030 22614 28650 35050 37690 42060 45228 52575 56535 57300 70100 75380 94225 105150 113070 133891 188450 210300 226140 267782 282675 376900 401673 535564 565350 669455 719879 803346 1130700 1338910 1439758 1606692 2008365 2159637 2642069 2677820 2879516 3347275 3599395 4016730 4319274 5284138 6694550 7198790 7926207 8033460 8638548 10041825 10568276 10798185 13210345 13389100 14397580 15852414 17996975 20083650 21596370 26420690 31704828 35993950 39631035 40167300 43192740 52841380 53990925 66051725 71987900 79262070 107981850 132103450 158524140 198155175 215963700 264206900 396310350 504635179 792620700 1009270358 1513905537 2018540716 2523175895 3027811074 5046351790 6055622148 7569527685 10092703580 12615879475 15139055370 25231758950 30278110740 37847638425 50463517900 75695276850 151390553700