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70657272040 = 23517318114133
BaseRepresentation
bin100000111001110000…
…0000110100011101000
320202101020010022121111
41001303200012203220
52124201230201130
652243130320104
75050644621445
oct1016340064350
9222336108544
1070657272040
1127a69208303
121183ab89034
136880676614
1435c402a9cc
151c8819302a
hex10738068e8

70657272040 has 128 divisors (see below), whose sum is σ = 174016926720. Its totient is φ = 25704345600.

The previous prime is 70657272031. The next prime is 70657272041. The reversal of 70657272040 is 4027275607.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 70657271984 and 70657272002.

It is not an unprimeable number, because it can be changed into a prime (70657272041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17093814 + ... + 17097946.

It is an arithmetic number, because the mean of its divisors is an integer number (1359507240).

Almost surely, 270657272040 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 70657272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87008463360).

70657272040 is an abundant number, since it is smaller than the sum of its proper divisors (103359654680).

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

70657272040 is a wasteful number, since it uses less digits than its factorization.

70657272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 70657272040 in words is "seventy billion, six hundred fifty-seven million, two hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 811 1054 1240 1622 2108 2635 3244 4055 4133 4216 5270 6488 8110 8266 10540 13787 16220 16532 20665 21080 25141 27574 32440 33064 41330 50282 55148 68935 70261 82660 100564 110296 125705 128123 137870 140522 165320 201128 251410 256246 275740 281044 351305 427397 502820 512492 551480 562088 640615 702610 854794 1005640 1024984 1281230 1405220 1709588 2136985 2178091 2562460 2810440 3351863 3419176 4273970 4356182 5124920 6703726 8547940 8712364 10890455 13407452 16759315 17095880 17424728 21780910 26814904 33518630 43561820 56981671 67037260 87123640 103907753 113963342 134074520 207815506 227926684 284908355 415631012 455853368 519538765 569816710 831262024 1039077530 1139633420 1766431801 2078155060 2279266840 3532863602 4156310120 7065727204 8832159005 14131454408 17664318010 35328636020 70657272040