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38197480944 = 24371312393631
BaseRepresentation
bin100011100100101111…
…110100110111110000
310122121001022002012110
4203210233310313300
51111212023342234
625314144325320
72521366142130
oct434457646760
9118531262173
1038197480944
1115221533877
1274a0313840
1337a97bca3c
141bc503aac0
15ed86321e9
hex8e4bf4df0

38197480944 has 160 divisors (see below), whose sum is σ = 114141265920. Its totient is φ = 10781971200.

The previous prime is 38197480939. The next prime is 38197480963. The reversal of 38197480944 is 44908479183.

It is a happy number.

It is a super-2 number, since 2×381974809442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10518009 + ... + 10521639.

It is an arithmetic number, because the mean of its divisors is an integer number (713382912).

Almost surely, 238197480944 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 38197480944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57070632960).

38197480944 is an abundant number, since it is smaller than the sum of its proper divisors (75943784976).

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

38197480944 is a wasteful number, since it uses less digits than its factorization.

38197480944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 38197480944 in words is "thirty-eight billion, one hundred ninety-seven million, four hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 239 262 336 393 478 524 717 786 917 956 1048 1434 1572 1673 1834 1912 2096 2751 2868 3144 3346 3631 3668 3824 5019 5502 5736 6288 6692 7262 7336 10038 10893 11004 11472 13384 14524 14672 20076 21786 22008 25417 26768 29048 31309 40152 43572 44016 50834 58096 62618 76251 80304 87144 93927 101668 125236 152502 174288 187854 203336 219163 250472 305004 375708 406672 438326 475661 500944 610008 657489 751416 867809 876652 951322 1220016 1314978 1426983 1502832 1735618 1753304 1902644 2603427 2629956 2853966 3329627 3471236 3506608 3805288 5206854 5259912 5707932 6074663 6659254 6942472 7610576 9988881 10413708 10519824 11415864 12149326 13318508 13884944 18223989 19977762 20827416 22831728 24298652 26637016 36447978 39955524 41654832 48597304 53274032 72895956 79911048 97194608 113682979 145791912 159822096 227365958 291583824 341048937 454731916 682097874 795780853 909463832 1364195748 1591561706 1818927664 2387342559 2728391496 3183123412 4774685118 5456782992 6366246824 9549370236 12732493648 19098740472 38197480944