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5468476944 = 2437192633257
BaseRepresentation
bin1010001011111001…
…00101011000010000
3112010002220102010010
411011330211120100
542144412230234
62302344234520
7252341200320
oct50574453020
915102812103
105468476944
1123568a3737
12108746ba40
13691c27698
1439c3ad280
152201446e9
hex145f25610

5468476944 has 160 divisors (see below), whose sum is σ = 17064622080. Its totient is φ = 1474108416.

The previous prime is 5468476919. The next prime is 5468476991. The reversal of 5468476944 is 4496748645.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1677364 + ... + 1680620.

It is an arithmetic number, because the mean of its divisors is an integer number (106653888).

Almost surely, 25468476944 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 5468476944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532311040).

5468476944 is an abundant number, since it is smaller than the sum of its proper divisors (11596145136).

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

5468476944 is a wasteful number, since it uses less digits than its factorization.

5468476944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3551 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The square root of 5468476944 is about 73949.1510701779. The cubic root of 5468476944 is about 1761.7953597518.

The spelling of 5468476944 in words is "five billion, four hundred sixty-eight million, four hundred seventy-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 263 266 304 336 399 456 526 532 789 798 912 1052 1064 1578 1596 1841 2104 2128 3156 3192 3257 3682 4208 4997 5523 6312 6384 6514 7364 9771 9994 11046 12624 13028 14728 14991 19542 19988 22092 22799 26056 29456 29982 34979 39084 39976 44184 45598 52112 59964 61883 68397 69958 78168 79952 88368 91196 104937 119928 123766 136794 139916 156336 182392 185649 209874 239856 247532 273588 279832 364784 371298 419748 433181 495064 547176 559664 742596 839496 856591 866362 990128 1094352 1299543 1485192 1678992 1713182 1732724 2569773 2599086 2970384 3426364 3465448 5139546 5198172 5996137 6852728 6930896 10279092 10396344 11992274 13705456 16275229 17988411 20558184 20792688 23984548 32550458 35976822 41116368 47969096 48825687 65100916 71953644 95938192 97651374 113926603 130201832 143907288 195302748 227853206 260403664 287814576 341779809 390605496 455706412 683559618 781210992 911412824 1367119236 1822825648 2734238472 5468476944