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70227684998416 = 2411228326732
BaseRepresentation
bin11111111011111001010000…
…01101111011110100010000
3100012122200221010010002111201
433331330220031323310100
533201102244324422131
6405210053023120544
720535532334134111
oct1775745015736420
9305580833102451
1070227684998416
1120416437393400
127a62719743154
1330255998c283a
14134b07673a208
1581bbb370c761
hex3fdf2837bd10

70227684998416 has 135 divisors (see below), whose sum is σ = 150314000048037. Its totient is φ = 31761613255680.

The previous prime is 70227684998413. The next prime is 70227684998447. The reversal of 70227684998416 is 61489948672207.

The square root of 70227684998416 is 8380196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22982627760400 + 47245057238016 = 4794020^2 + 6873504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70227684998411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104350200256 + ... + 104350200928.

Almost surely, 270227684998416 is an apocalyptic number.

70227684998416 is the 8380196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70227684998416

70227684998416 is an abundant number, since it is smaller than the sum of its proper divisors (80086315049621).

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

70227684998416 is an frugal number, since it uses more digits than its factorization.

70227684998416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 73.

The spelling of 70227684998416 in words is "seventy trillion, two hundred twenty-seven billion, six hundred eighty-four million, nine hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 283 484 566 673 968 1132 1346 1936 2264 2692 3113 4528 5384 6226 7403 10768 12452 14806 24904 29612 34243 49808 59224 68486 80089 81433 118448 136972 160178 162866 190459 273944 320356 325732 380918 452929 547888 640712 651464 761836 880979 905858 1281424 1302928 1523672 1761958 1811716 2095049 3047344 3523916 3623432 4190098 4982219 7047832 7246864 8380196 9690769 9964438 14095664 16760392 19381538 19928876 23045539 33520784 38763076 39857752 46091078 53899897 54804409 77526152 79715504 92182156 107799794 109608818 128178907 155052304 184364312 215599588 219217636 256357814 368728624 431199176 438435272 512715628 592898867 862398352 876870544 1025431256 1185797734 1409967977 2050862512 2371595468 2819935954 4743190936 5639871908 6521887537 9486381872 11279743816 13043775074 15509647747 22559487632 26087550148 31019295494 36274630681 52175100296 62038590988 72549261362 104350200592 124077181976 145098522724 248154363952 290197045448 399020937491 580394090896 798041874982 1596083749964 3192167499928 4389230312401 6384334999856 8778460624802 17556921249604 35113842499208 70227684998416