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101395046704 = 24717359148339
BaseRepresentation
bin101111001101110011…
…1011010000100110000
3100200201101200001120011
41132123213122010300
53130124112443304
6114325155424304
710216443451030
oct1363347320460
9320641601504
10101395046704
113a001951366
1217798bb5094
13973b845773
144c9c4438c0
152986951c04
hex179b9da130

101395046704 has 80 divisors (see below), whose sum is σ = 238388313600. Its totient is φ = 40784643072.

The previous prime is 101395046699. The next prime is 101395046723. The reversal of 101395046704 is 407640593101.

It is a super-2 number, since 2×1013950467042 (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609367 + ... + 757705.

It is an arithmetic number, because the mean of its divisors is an integer number (2979853920).

Almost surely, 2101395046704 is an apocalyptic number.

101395046704 is a gapful number since it is divisible by the number (14) 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 101395046704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119194156800).

101395046704 is an abundant number, since it is smaller than the sum of its proper divisors (136993266896).

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

101395046704 is a wasteful number, since it uses less digits than its factorization.

101395046704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148730 (or 148724 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 101395046704 in words is "one hundred one billion, three hundred ninety-five million, forty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 359 476 718 952 1436 1904 2513 2872 5026 5744 6103 10052 12206 20104 24412 40208 42721 48824 85442 97648 148339 170884 296678 341768 593356 683536 1038373 1186712 2076746 2373424 2521763 4153492 5043526 8306984 10087052 16613968 17652341 20174104 35304682 40348208 53253701 70609364 106507402 141218728 213014804 282437456 372775907 426029608 745551814 852059216 905312917 1491103628 1810625834 2982207256 3621251668 5964414512 6337190419 7242503336 12674380838 14485006672 25348761676 50697523352 101395046704