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10607067136 = 2162331227
BaseRepresentation
bin10011110000011101…
…10000000000000000
31000101020001211200101
421320032300000000
5133210402122021
64512310132144
7523565403661
oct117016600000
930336054611
1010607067136
11455345a596
122080351054
1310006bb9b3
14728a29368
15421324a91
hex2783b0000

10607067136 has 136 divisors (see below), whose sum is σ = 22951056384. Its totient is φ = 4887674880.

The previous prime is 10607067131. The next prime is 10607067143. The reversal of 10607067136 is 63176070601.

It is a super-2 number, since 2×106070671362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10607067095 and 10607067104.

It is not an unprimeable number, because it can be changed into a prime (10607067131) 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, 46727055 + ... + 46727281.

Almost surely, 210607067136 is an apocalyptic number.

10607067136 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 10607067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475528192).

10607067136 is an abundant number, since it is smaller than the sum of its proper divisors (12343989248).

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

10607067136 is an frugal number, since it uses more digits than its factorization.

10607067136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 10607067136 in words is "ten billion, six hundred seven million, sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 227 248 256 368 454 496 512 713 736 908 992 1024 1426 1472 1816 1984 2048 2852 2944 3632 3968 4096 5221 5704 5888 7037 7264 7936 8192 10442 11408 11776 14074 14528 15872 16384 20884 22816 23552 28148 29056 31744 32768 41768 45632 47104 56296 58112 63488 65536 83536 91264 94208 112592 116224 126976 161851 167072 182528 188416 225184 232448 253952 323702 334144 365056 376832 450368 464896 507904 647404 668288 730112 753664 900736 929792 1015808 1294808 1336576 1460224 1507328 1801472 1859584 2031616 2589616 2673152 2920448 3602944 3719168 5179232 5346304 5840896 7205888 7438336 10358464 10692608 11681792 14411776 14876672 20716928 21385216 23363584 28823552 41433856 42770432 46727168 57647104 82867712 85540864 115294208 165735424 171081728 230588416 331470848 342163456 461176832 662941696 1325883392 2651766784 5303533568 10607067136