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70745630130 = 23257253302681
BaseRepresentation
bin100000111100011000…
…1001010010110110010
320202121101101101010100
41001320301022112302
52124341340131010
652300004213230
75053066635300
oct1017061122662
9222541341110
1070745630130
112800407801a
121186469a216
136895a72106
1435d1a6b270
151c90ce82c0
hex1078c4a5b2

70745630130 has 144 divisors (see below), whose sum is σ = 218007315864. Its totient is φ = 15865274880.

The previous prime is 70745630107. The next prime is 70745630167. The reversal of 70745630130 is 3103654707.

70745630130 is a `hidden beast` number, since 7 + 0 + 7 + 4 + 5 + 630 + 13 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69381140409 + 1364489721 = 263403^2 + 36939^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82390 + ... + 385070.

Almost surely, 270745630130 is an apocalyptic number.

70745630130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 70745630130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109003657932).

70745630130 is an abundant number, since it is smaller than the sum of its proper divisors (147261685734).

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

70745630130 is a wasteful number, since it uses less digits than its factorization.

70745630130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302761 (or 302751 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 70745630130 in words is "seventy billion, seven hundred forty-five million, six hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 53 63 70 90 98 105 106 126 147 159 210 245 265 294 315 318 371 441 477 490 530 630 735 742 795 882 954 1113 1470 1590 1855 2205 2226 2385 2597 3339 3710 4410 4770 5194 5565 6678 7791 11130 12985 15582 16695 23373 25970 33390 38955 46746 77910 116865 233730 302681 605362 908043 1513405 1816086 2118767 2724129 3026810 4237534 4540215 5448258 6356301 9080430 10593835 12712602 13620645 14831369 16042093 19068903 21187670 27241290 29662738 31781505 32084186 38137806 44494107 48126279 63563010 74156845 80210465 88988214 95344515 96252558 112294651 133482321 144378837 148313690 160420930 190689030 222470535 224589302 240631395 266964642 288757674 336883953 444941070 481262790 561473255 667411605 673767906 721894185 786062557 1010651859 1122946510 1334823210 1443788370 1572125114 1684419765 2021303718 2358187671 3368839530 3930312785 4716375342 5053259295 7074563013 7860625570 10106518590 11790938355 14149126026 23581876710 35372815065 70745630130