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67352364640 = 2551123272341
BaseRepresentation
bin111110101110100000…
…111000011001100000
320102211220100121221201
4332232200320121200
52100414201132030
650535150530544
74603024440061
oct765640703140
9212756317851
1067352364640
1126622721480
1211078206a54
136474a66702
14338d134568
151b42e712ca
hexfae838660

67352364640 has 144 divisors (see below), whose sum is σ = 181463251536. Its totient is φ = 23426585600.

The previous prime is 67352364601. The next prime is 67352364683. The reversal of 67352364640 is 4646325376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 894870 + ... + 967210.

It is an arithmetic number, because the mean of its divisors is an integer number (1260161469).

Almost surely, 267352364640 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 67352364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90731625768).

67352364640 is an abundant number, since it is smaller than the sum of its proper divisors (114110886896).

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

67352364640 is a wasteful number, since it uses less digits than its factorization.

67352364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72413 (or 72382 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 67352364640 in words is "sixty-seven billion, three hundred fifty-two million, three hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 529 736 880 920 1012 1058 1265 1760 1840 2024 2116 2530 2645 3680 4048 4232 5060 5290 5819 8096 8464 10120 10580 11638 16928 20240 21160 23276 29095 40480 42320 46552 58190 72341 84640 93104 116380 144682 186208 232760 289364 361705 465520 578728 723410 795751 931040 1157456 1446820 1591502 1663843 2314912 2893640 3183004 3327686 3978755 5787280 6366008 6655372 7957510 8319215 11574560 12732016 13310744 15915020 16638430 18302273 25464032 26621488 31830040 33276860 36604546 38268389 53242976 63660080 66553720 73209092 76536778 91511365 127320160 133107440 146418184 153073556 183022730 191341945 266214880 292836368 306147112 366045460 382683890 420952279 585672736 612294224 732090920 765367780 841904558 1224588448 1464181840 1530735560 1683809116 2104761395 2928363680 3061471120 3367618232 4209522790 6122942240 6735236464 8419045580 13470472928 16838091160 33676182320 67352364640