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70211315900 = 225211433973739
BaseRepresentation
bin100000101100011101…
…0111010100010111100
320201020010222101210102
41001120322322202330
52122243044102100
652131000100232
75033621223665
oct1013072724274
9221203871712
1070211315900
112785a503910
1211735764678
13680c16444b
143580b0236c
151c5de52cd5
hex1058eba8bc

70211315900 has 144 divisors (see below), whose sum is σ = 170548667520. Its totient is φ = 24868166400.

The previous prime is 70211315899. The next prime is 70211315939. The reversal of 70211315900 is 951311207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18776231 + ... + 18779969.

Almost surely, 270211315900 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 70211315900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85274333760).

70211315900 is an abundant number, since it is smaller than the sum of its proper divisors (100337351620).

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

70211315900 is a wasteful number, since it uses less digits than its factorization.

70211315900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The spelling of 70211315900 in words is "seventy billion, two hundred eleven million, three hundred fifteen thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 397 430 473 550 794 860 946 1075 1100 1588 1892 1985 2150 2365 3739 3970 4300 4367 4730 7478 7940 8734 9460 9925 11825 14956 17071 17468 18695 19850 21835 23650 34142 37390 39700 41129 43670 47300 68284 74780 82258 85355 87340 93475 109175 160777 164516 170710 186950 187781 205645 218350 321554 341420 373900 375562 411290 426775 436700 643108 751124 803885 822580 853550 938905 1028225 1484383 1607770 1707100 1768547 1877810 2056450 2968766 3215540 3537094 3755620 4019425 4112900 4694525 5937532 7074188 7421915 8038850 8842735 9389050 14843830 16077700 16328213 17685470 18778100 29687660 32656426 35370940 37109575 44213675 63828469 65312852 74219150 81641065 88427350 127656938 148438300 163282130 176854700 255313876 319142345 326564260 408205325 638284690 702113159 816410650 1276569380 1404226318 1595711725 1632821300 2808452636 3191423450 3510565795 6382846900 7021131590 14042263180 17552828975 35105657950 70211315900