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70801874352 = 24321152185793
BaseRepresentation
bin100000111110000011…
…1101101110110110000
320202202022012212200200
41001330013231312300
52130000234434402
652305333515200
75054352000516
oct1017407556660
9222668185620
1070801874352
11280328a3150
121187b4a2b00
1368a4605711
1435d930c4b6
151c95c0821c
hex107c1eddb0

70801874352 has 120 divisors (see below), whose sum is σ = 216577687248. Its totient is φ = 21413683200.

The previous prime is 70801874333. The next prime is 70801874413. The reversal of 70801874352 is 25347810807.

It is a junction number, because it is equal to n+sod(n) for n = 70801874298 and 70801874307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782368 + ... + 868160.

Almost surely, 270801874352 is an apocalyptic number.

70801874352 is a gapful number since it is divisible by the number (72) 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 70801874352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108288843624).

70801874352 is an abundant number, since it is smaller than the sum of its proper divisors (145775812896).

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

70801874352 is a wasteful number, since it uses less digits than its factorization.

70801874352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86339 (or 86330 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 70801874352 in words is "seventy billion, eight hundred one million, eight hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 521 528 792 1042 1563 1584 2084 3126 4168 4689 5731 6252 8336 9378 11462 12504 17193 18756 22924 25008 34386 37512 45848 51579 68772 75024 85793 91696 103158 137544 171586 206316 257379 275088 343172 412632 514758 686344 772137 825264 943723 1029516 1372688 1544274 1887446 2059032 2831169 3088548 3774892 4118064 5662338 6177096 7549784 8493507 11324676 12354192 15099568 16987014 22649352 33974028 44698153 45298704 67948056 89396306 134094459 135896112 178792612 268188918 357585224 402283377 491679683 536377836 715170448 804566754 983359366 1072755672 1475039049 1609133508 1966718732 2145511344 2950078098 3218267016 3933437464 4425117147 5900156196 6436534032 7866874928 8850234294 11800312392 17700468588 23600624784 35400937176 70801874352