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164272313856 = 293715278303
BaseRepresentation
bin1001100011111101100…
…1001001011000000000
3120201000102100011211110
42120333121021120000
510142412203020411
6203244325443320
714603551425510
oct2307731113000
9521012304743
10164272313856
1163738490862
1227a06570540
131264c4143a1
147d450b1840
154416aa32a6
hex263f649600

164272313856 has 80 divisors (see below), whose sum is σ = 500150559744. Its totient is φ = 46934943744.

The previous prime is 164272313833. The next prime is 164272313857. The reversal of 164272313856 is 658313272461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164272313857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7628400 + ... + 7649903.

Almost surely, 2164272313856 is an apocalyptic number.

164272313856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164272313856 is an abundant number, since it is smaller than the sum of its proper divisors (335878245888).

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

164272313856 is an equidigital number, since it uses as much as digits as its factorization.

164272313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15278331 (or 15278315 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 164272313856 in words is "one hundred sixty-four billion, two hundred seventy-two million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 15278303 30556606 45834909 61113212 91669818 106948121 122226424 183339636 213896242 244452848 320844363 366679272 427792484 488905696 641688726 733358544 855584968 977811392 1283377452 1466717088 1711169936 1955622784 2566754904 2933434176 3422339872 3911245568 5133509808 5866868352 6844679744 7822491136 10267019616 11733736704 13689359488 20534039232 23467473408 27378718976 41068078464 54757437952 82136156928 164272313856