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153077145216 = 2731030138699
BaseRepresentation
bin1000111010010000011…
…0111101111010000000
3112122010012122200112220
42032210012331322000
510002000222121331
6154153410251040
714026252160052
oct2164406757200
9478105580486
10153077145216
1159a1306a976
1225801286a80
1311586c34848
1475a23198d2
153eadd11296
hex23a41bde80

153077145216 has 64 divisors (see below), whose sum is σ = 406661148000. Its totient is φ = 51019443200.

The previous prime is 153077145119. The next prime is 153077145227. The reversal of 153077145216 is 612541770351.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1530771452162 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3936235 + ... + 3974933.

Almost surely, 2153077145216 is an apocalyptic number.

153077145216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153077145216 is an abundant number, since it is smaller than the sum of its proper divisors (253584002784).

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

153077145216 is a wasteful number, since it uses less digits than its factorization.

153077145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49017 (or 49005 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 153077145216 in words is "one hundred fifty-three billion, seventy-seven million, one hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10301 20602 30903 38699 41204 61806 77398 82408 116097 123612 154796 164816 232194 247224 309592 329632 464388 494448 619184 659264 928776 988896 1238368 1318528 1857552 1977792 2476736 3715104 3955584 4953472 7430208 14860416 398638399 797276798 1195915197 1594553596 2391830394 3189107192 4783660788 6378214384 9567321576 12756428768 19134643152 25512857536 38269286304 51025715072 76538572608 153077145216