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70414331616 = 2538335383
BaseRepresentation
bin100000110010100000…
…1010110111011100000
320201202021222200000000
41001211001112323200
52123202032102431
652203051300000
75041634641356
oct1014501267340
9221667880000
1070414331616
11279540665a2
121179174a600
1368422362a5
14359da6b7d6
151c71ba59e6
hex1065056ee0

70414331616 has 108 divisors (see below), whose sum is σ = 207932378472. Its totient is φ = 23471373888.

The previous prime is 70414331609. The next prime is 70414331623. The reversal of 70414331616 is 61613341407.

70414331616 is a `hidden beast` number, since 7 + 0 + 4 + 1 + 4 + 3 + 31 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (70414331609) and next prime (70414331623).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42261 + ... + 377643.

Almost surely, 270414331616 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 70414331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103966189236).

70414331616 is an abundant number, since it is smaller than the sum of its proper divisors (137518046856).

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

70414331616 is an frugal number, since it uses more digits than its factorization.

70414331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335417 (or 335388 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 70414331616 in words is "seventy billion, four hundred fourteen million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 34992 52488 69984 104976 209952 335383 670766 1006149 1341532 2012298 2683064 3018447 4024596 5366128 6036894 8049192 9055341 10732256 12073788 16098384 18110682 24147576 27166023 32196768 36221364 48295152 54332046 72442728 81498069 96590304 108664092 144885456 162996138 217328184 244494207 289770912 325992276 434656368 488988414 651984552 733482621 869312736 977976828 1303969104 1466965242 1955953656 2200447863 2607938208 2933930484 3911907312 4400895726 5867860968 7823814624 8801791452 11735721936 17603582904 23471443872 35207165808 70414331616