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70399080653056 = 28372141732
BaseRepresentation
bin10000000000011100010000…
…001100011110000100000000
3100020021002022222021110212121
4100000130100030132010000
533211404304121344211
6405420520254534024
720554110563146201
oct2000342014360400
9306232288243777
1070399080653056
112048209a801561
127a8b991807314
1330387b2a3656c
1413554958b35a8
15821395840271
hex40071031e100

70399080653056 has 81 divisors (see below), whose sum is σ = 144433925630631. Its totient is φ = 34245784958976.

The previous prime is 70399080653017. The next prime is 70399080653059. The reversal of 70399080653056 is 65035608099307.

The square root of 70399080653056 is 8390416.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41041755955456 + 29357324697600 = 6406384^2 + 5418240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 70399080652985 and 70399080653003.

It is not an unprimeable number, because it can be changed into a prime (70399080653059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4967119186 + ... + 4967133358.

Almost surely, 270399080653056 is an apocalyptic number.

70399080653056 is the 8390416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70399080653056

70399080653056 is an abundant number, since it is smaller than the sum of its proper divisors (74034844977575).

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

70399080653056 is an frugal number, since it uses more digits than its factorization.

70399080653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28436 (or 14212 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 61.

The spelling of 70399080653056 in words is "seventy trillion, three hundred ninety-nine billion, eighty million, six hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1369 2368 2738 4736 5476 9472 10952 14173 21904 28346 43808 56692 87616 113384 175232 226768 350464 453536 524401 907072 1048802 1814144 2097604 3628288 4195208 8390416 16780832 19402837 33561664 38805674 67123328 77611348 134246656 155222696 200873929 310445392 401747858 620890784 803495716 1241781568 1606991432 2483563136 3213982864 4967126272 6427965728 7432335373 12855931456 14864670746 25711862912 29729341492 51423725824 59458682984 118917365968 237834731936 274996408801 475669463872 549992817602 951338927744 1099985635204 1902677855488 2199971270408 4399942540816 8799885081632 17599770163264 35199540326528 70399080653056