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6964945454640 = 2435195925888141
BaseRepresentation
bin110010101011010011100…
…0110011000011000110000
3220122211202000122120021110
41211112213012120120300
51403103202014022030
622451352440553320
71316125561355415
oct145264706303060
926584660576243
106964945454640
1122458a91515a8
12945a2a182840
133b6a3a0176b4
141a11687ac10c
15c1292e971b0
hex655a7198630

6964945454640 has 160 divisors (see below), whose sum is σ = 23112933177600. Its totient is φ = 1729741962240.

The previous prime is 6964945454521. The next prime is 6964945454669. The reversal of 6964945454640 is 464545494696.

It is a super-2 number, since 2×69649454546402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12675031 + ... + 13213110.

It is an arithmetic number, because the mean of its divisors is an integer number (144455832360).

Almost surely, 26964945454640 is an apocalyptic number.

6964945454640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6964945454640 is an abundant number, since it is smaller than the sum of its proper divisors (16147987722960).

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

6964945454640 is a wasteful number, since it uses less digits than its factorization.

6964945454640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25888235 (or 25888229 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 66.

The spelling of 6964945454640 in words is "six trillion, nine hundred sixty-four billion, nine hundred forty-five million, four hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 59 60 76 80 95 114 118 120 152 177 190 228 236 240 285 295 304 354 380 456 472 570 590 708 760 885 912 944 1121 1140 1180 1416 1520 1770 2242 2280 2360 2832 3363 3540 4484 4560 4720 5605 6726 7080 8968 11210 13452 14160 16815 17936 22420 26904 33630 44840 53808 67260 89680 134520 269040 25888141 51776282 77664423 103552564 129440705 155328846 207105128 258881410 310657692 388322115 414210256 491874679 517762820 621315384 776644230 983749358 1035525640 1242630768 1475624037 1527400319 1553288460 1967498716 2071051280 2459373395 2951248074 3054800638 3106576920 3934997432 4582200957 4918746790 5902496148 6109601276 6213153840 7378120185 7637001595 7869994864 9164401914 9837493580 11804992296 12219202552 14756240370 15274003190 18328803828 19674987160 22911004785 23609984592 24438405104 29020606061 29512480740 30548006380 36657607656 39349974320 45822009570 58041212122 59024961480 61096012760 73315215312 87061818183 91644019140 116082424244 118049922960 122192025520 145103030305 174123636366 183288038280 232164848488 290206060610 348247272732 366576076560 435309090915 464329696976 580412121220 696494545464 870618181830 1160824242440 1392989090928 1741236363660 2321648484880 3482472727320 6964945454640