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151820431536 = 2439752362347
BaseRepresentation
bin1000110101100100110…
…0111111000010110000
3112111212121221000110210
42031121030333002300
54441412012302121
6153424554424120
713653152242554
oct2153114770260
9474777830423
10151820431536
1159428748324
1225510432040
1311416774197
1474c3465864
153e38821876
hex235933f0b0

151820431536 has 80 divisors (see below), whose sum is σ = 397010117504. Its totient is φ = 49988524032.

The previous prime is 151820431493. The next prime is 151820431541. The reversal of 151820431536 is 635134028151.

It is a junction number, because it is equal to n+sod(n) for n = 151820431494 and 151820431503.

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, 2403915 + ... + 2466261.

Almost surely, 2151820431536 is an apocalyptic number.

151820431536 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 151820431536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198505058752).

151820431536 is an abundant number, since it is smaller than the sum of its proper divisors (245189685968).

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

151820431536 is a wasteful number, since it uses less digits than its factorization.

151820431536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62978 (or 62972 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 151820431536 its reverse (635134028151), we get a palindrome (786954459687).

The spelling of 151820431536 in words is "one hundred fifty-one billion, eight hundred twenty million, four hundred thirty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 523 582 776 1046 1164 1552 1569 2092 2328 3138 4184 4656 6276 8368 12552 25104 50731 62347 101462 124694 152193 187041 202924 249388 304386 374082 405848 498776 608772 748164 811696 997552 1217544 1496328 2435088 2992656 6047659 12095318 18142977 24190636 32607481 36285954 48381272 65214962 72571908 96762544 97822443 130429924 145143816 195644886 260859848 290287632 391289772 521719696 782579544 1565159088 3162925657 6325851314 9488776971 12651702628 18977553942 25303405256 37955107884 50606810512 75910215768 151820431536