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109622689152 = 273439768443
BaseRepresentation
bin110011000011000000…
…1010111110110000000
3101110221210102121012020
41212012001113312000
53244001402023102
6122205430401440
710630360324554
oct1460601276600
9343853377166
10109622689152
1142544171969
12192b4500280
13a4502a0a52
14543d047864
152cb8e16bbc
hex1986057d80

109622689152 has 128 divisors (see below), whose sum is σ = 301033138560. Its totient is φ = 35322642432.

The previous prime is 109622689139. The next prime is 109622689193. The reversal of 109622689152 is 251986226901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 109622689095 and 109622689104.

It is a congruent number.

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, 1567443 + ... + 1635885.

It is an arithmetic number, because the mean of its divisors is an integer number (2351821395).

Almost surely, 2109622689152 is an apocalyptic number.

109622689152 is a gapful number since it is divisible by the number (12) 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 109622689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150516569280).

109622689152 is an abundant number, since it is smaller than the sum of its proper divisors (191410449408).

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

109622689152 is an equidigital number, since it uses as much as digits as its factorization.

109622689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68600 (or 68588 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 109622689152 in words is "one hundred nine billion, six hundred twenty-two million, six hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 97 128 129 172 192 194 258 291 344 384 388 516 582 688 776 1032 1164 1376 1552 2064 2328 2752 3104 4128 4171 4656 5504 6208 8256 8342 9312 12416 12513 16512 16684 18624 25026 33368 37248 50052 66736 68443 100104 133472 136886 200208 205329 266944 273772 400416 410658 533888 547544 800832 821316 1095088 1601664 1642632 2190176 2943049 3285264 4380352 5886098 6570528 6638971 8760704 8829147 11772196 13141056 13277942 17658294 19916913 23544392 26282112 26555884 35316588 39833826 47088784 53111768 70633176 79667652 94177568 106223536 141266352 159335304 188355136 212447072 282532704 285475753 318670608 376710272 424894144 565065408 570951506 637341216 849788288 856427259 1130130816 1141903012 1274682432 1712854518 2283806024 2549364864 3425709036 4567612048 6851418072 9135224096 13702836144 18270448192 27405672288 36540896384 54811344576 109622689152