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12153075616 = 2511231738677
BaseRepresentation
bin10110101000110000…
…10011011110100000
31011100222011012121201
423110120103132200
5144342141404431
65325534330544
7610110303223
oct132430233640
934328135551
1012153075616
115177104650
122432059a54
1311b8a9c606
148340a75ba
154b1e0b461
hex2d46137a0

12153075616 has 96 divisors (see below), whose sum is σ = 27396931968. Its totient is φ = 5252797440.

The previous prime is 12153075541. The next prime is 12153075629. The reversal of 12153075616 is 61657035121.

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, 1396270 + ... + 1404946.

It is an arithmetic number, because the mean of its divisors is an integer number (285384708).

Almost surely, 212153075616 is an apocalyptic number.

12153075616 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 12153075616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698465984).

12153075616 is an abundant number, since it is smaller than the sum of its proper divisors (15243856352).

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

12153075616 is a wasteful number, since it uses less digits than its factorization.

12153075616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 12153075616 in words is "twelve billion, one hundred fifty-three million, seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 173 176 184 253 346 352 368 506 692 736 1012 1384 1903 2024 2768 3806 3979 4048 5536 7612 7958 8096 8677 15224 15916 17354 30448 31832 34708 43769 60896 63664 69416 87538 95447 127328 138832 175076 190894 199571 277664 350152 381788 399142 700304 763576 798284 1400608 1501121 1527152 1596568 2195281 3002242 3054304 3193136 4390562 6004484 6386272 8781124 12008968 16512331 17562248 24017936 33024662 34525783 35124496 48035872 66049324 69051566 70248992 132098648 138103132 264197296 276206264 379783613 528394592 552412528 759567226 1104825056 1519134452 3038268904 6076537808 12153075616