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70948810752 = 212317339637
BaseRepresentation
bin100001000010011100…
…0001111000000000000
320210010112201000112120
41002010320033000000
52130300343421002
652332103124240
75061114640521
oct1020470170000
9223115630476
1070948810752
11280a8832696
1211900743680
1368c8ba1031
143610a3a848
151ca3a7ecbc
hex1084e0f000

70948810752 has 104 divisors (see below), whose sum is σ = 200302189776. Its totient is φ = 22258384896.

The previous prime is 70948810697. The next prime is 70948810753. The reversal of 70948810752 is 25701884907.

It is a super-2 number, since 2×709488107522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 70948810695 and 70948810704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70948810753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39078 + ... + 378714.

It is an arithmetic number, because the mean of its divisors is an integer number (1925982594).

Almost surely, 270948810752 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 70948810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100151094888).

70948810752 is an abundant number, since it is smaller than the sum of its proper divisors (129353379024).

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

70948810752 is a wasteful number, since it uses less digits than its factorization.

70948810752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339681 (or 339659 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 70948810752 in words is "seventy billion, nine hundred forty-eight million, eight hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8704 12288 13056 17408 26112 34816 52224 69632 104448 208896 339637 679274 1018911 1358548 2037822 2717096 4075644 5434192 5773829 8151288 10868384 11547658 16302576 17321487 21736768 23095316 32605152 34642974 43473536 46190632 65210304 69285948 86947072 92381264 130420608 138571896 173894144 184762528 260841216 277143792 347788288 369525056 521682432 554287584 695576576 739050112 1043364864 1108575168 1391153152 1478100224 2086729728 2217150336 2956200448 4173459456 4434300672 5912400896 8868601344 11824801792 17737202688 23649603584 35474405376 70948810752