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5196396672 = 273310114887
BaseRepresentation
bin1001101011011101…
…01011100010000000
3111102010221022011000
410311232223202000
541120234143142
62215344452000
7242525433345
oct46556534200
914363838130
105196396672
112227259805
12101031a000
1364a753a3c
143741c67cc
152062ed14c
hex135bab880

5196396672 has 128 divisors (see below), whose sum is σ = 15489475200. Its totient is φ = 1714867200.

The previous prime is 5196396649. The next prime is 5196396677. The reversal of 5196396672 is 2766936915.

5196396672 is a `hidden beast` number, since 5 + 196 + 396 + 67 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5196396677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341613 + ... + 356499.

It is an arithmetic number, because the mean of its divisors is an integer number (121011525).

Almost surely, 25196396672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5196396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744737600).

5196396672 is an abundant number, since it is smaller than the sum of its proper divisors (10293078528).

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

5196396672 is a wasteful number, since it uses less digits than its factorization.

5196396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011 (or 14993 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 5196396672 is about 72086.0365951687. The cubic root of 5196396672 is about 1732.0779459540.

The spelling of 5196396672 in words is "five billion, one hundred ninety-six million, three hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 288 303 384 404 432 576 606 808 864 909 1152 1212 1616 1728 1818 2424 2727 3232 3456 3636 4848 5454 6464 7272 9696 10908 12928 14544 14887 19392 21816 29088 29774 38784 43632 44661 58176 59548 87264 89322 116352 119096 133983 174528 178644 238192 267966 349056 357288 401949 476384 535932 714576 803898 952768 1071864 1429152 1503587 1607796 1905536 2143728 2858304 3007174 3215592 4287456 4510761 5716608 6014348 6431184 8574912 9021522 12028696 12862368 13532283 17149824 18043044 24057392 25724736 27064566 36086088 40596849 48114784 51449472 54129132 72172176 81193698 96229568 108258264 144344352 162387396 192459136 216516528 288688704 324774792 433033056 577377408 649549584 866066112 1299099168 1732132224 2598198336 5196396672