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64819892472 = 23319717925343
BaseRepresentation
bin111100010111100100…
…010001000011111000
320012022102001201020020
4330113210101003320
52030222343024342
645440003130440
74453203665226
oct742744210370
9205272051206
1064819892472
1125543159675
1210690073a20
1361601a7c7a
1431cca6db16
151a4597e0ec
hexf179110f8

64819892472 has 128 divisors (see below), whose sum is σ = 175177728000. Its totient is φ = 19924894080.

The previous prime is 64819892443. The next prime is 64819892477. The reversal of 64819892472 is 27429891846.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64819892477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545033 + ... + 2570375.

It is an arithmetic number, because the mean of its divisors is an integer number (1368576000).

Almost surely, 264819892472 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 64819892472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87588864000).

64819892472 is an abundant number, since it is smaller than the sum of its proper divisors (110357835528).

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

64819892472 is a wasteful number, since it uses less digits than its factorization.

64819892472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25521 (or 25517 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The spelling of 64819892472 in words is "sixty-four billion, eight hundred nineteen million, eight hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 79 114 142 152 158 213 228 237 284 316 426 456 474 568 632 852 948 1349 1501 1704 1896 2698 3002 4047 4503 5396 5609 6004 8094 9006 10792 11218 12008 16188 16827 18012 22436 25343 32376 33654 36024 44872 50686 67308 76029 101372 106571 134616 152058 202744 213142 304116 319713 426284 481517 608232 639426 852568 963034 1278852 1444551 1799353 1926068 2002097 2557704 2889102 3598706 3852136 4004194 5398059 5778204 6006291 7197412 8008388 10796118 11556408 12012582 14394824 16016776 21592236 24025164 34187707 38039843 43184472 48050328 68375414 76079686 102563121 114119529 136750828 142148887 152159372 205126242 228239058 273501656 284297774 304318744 410252484 426446661 456478116 568595548 820504968 852893322 912956232 1137191096 1705786644 2700828853 3411573288 5401657706 8102486559 10803315412 16204973118 21606630824 32409946236 64819892472