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6479968440 = 23351131158357
BaseRepresentation
bin1100000100011110…
…00111100010111000
3121201121012111121010
412002033013202320
5101232332442230
62551000113520
7316402552161
oct60217074270
917647174533
106479968440
112825856220
12130a1658a0
137c365926a
1445686c768
1527dd459b0
hex1823c78b8

6479968440 has 128 divisors (see below), whose sum is σ = 21891409920. Its totient is φ = 1520217600.

The previous prime is 6479968433. The next prime is 6479968459. The reversal of 6479968440 is 448699746.

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, 38259 + ... + 120098.

It is an arithmetic number, because the mean of its divisors is an integer number (171026640).

Almost surely, 26479968440 is an apocalyptic number.

6479968440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6479968440 is an abundant number, since it is smaller than the sum of its proper divisors (15411441480).

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

6479968440 is a wasteful number, since it uses less digits than its factorization.

6479968440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158413 (or 158409 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The square root of 6479968440 is about 80498.2511611277. The cubic root of 6479968440 is about 1864.3364768928.

The spelling of 6479968440 in words is "six billion, four hundred seventy-nine million, nine hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 158357 316714 475071 633428 791785 950142 1266856 1583570 1741927 1900284 2375355 3167140 3483854 3800568 4750710 4909067 5225781 6334280 6967708 8709635 9501420 9818134 10451562 13935416 14727201 17419270 19002840 19636268 20903124 24545335 26128905 29454402 34838540 39272536 41806248 49090670 52257810 53999737 58908804 69677080 73636005 98181340 104515620 107999474 117817608 147272010 161999211 196362680 209031240 215998948 269998685 294544020 323998422 431997896 539997370 589088040 647996844 809996055 1079994740 1295993688 1619992110 2159989480 3239984220 6479968440