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66974699520 = 212325363361
BaseRepresentation
bin111110011000000000…
…001101000000000000
320101212120201020210200
4332120000031000000
52044131010341040
650433500125200
74560460360431
oct763000150000
9211776636720
1066974699520
1126449521043
1210b91836800
136414745221
143354d05488
151b1ec20630
hexf9800d000

66974699520 has 156 divisors (see below), whose sum is σ = 232151255076. Its totient is φ = 17859870720.

The previous prime is 66974699489. The next prime is 66974699543. The reversal of 66974699520 is 2599647966.

66974699520 is a `hidden beast` number, since 6 + 69 + 7 + 46 + 9 + 9 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15383937024 + 51590762496 = 124032^2 + 227136^2 .

It is a super-2 number, since 2×669746995202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2640 + ... + 366000.

It is an arithmetic number, because the mean of its divisors is an integer number (1488149071).

Almost surely, 266974699520 is an apocalyptic number.

66974699520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66974699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116075627538).

66974699520 is an abundant number, since it is smaller than the sum of its proper divisors (165176555556).

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

66974699520 is a wasteful number, since it uses less digits than its factorization.

66974699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363396 (or 363371 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 66974699520 in words is "sixty-six billion, nine hundred seventy-four million, six hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 61440 92160 184320 363361 726722 1090083 1453444 1816805 2180166 2906888 3270249 3633610 4360332 5450415 5813776 6540498 7267220 8720664 10900830 11627552 13080996 14534440 16351245 17441328 21801660 23255104 26161992 29068880 32702490 34882656 43603320 46510208 52323984 58137760 65404980 69765312 87206640 93020416 104647968 116275520 130809960 139530624 174413280 186040832 209295936 232551040 261619920 279061248 348826560 372081664 418591872 465102080 523239840 558122496 697653120 744163328 837183744 930204160 1046479680 1116244992 1395306240 1488326656 1674367488 1860408320 2092959360 2232489984 2790612480 3348734976 3720816640 4185918720 4464979968 5581224960 6697469952 7441633280 8371837440 11162449920 13394939904 16743674880 22324899840 33487349760 66974699520