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70416285408 = 25327223156631
BaseRepresentation
bin100000110010100100…
…0110011111011100000
320201202102122221002200
41001211020303323200
52123203032113113
652203201213200
75041660356510
oct1014510637340
9221672587080
1070416285408
11279551804a7
1211792331200
13684276b691
1435a0019840
151c71e3e873
hex1065233ee0

70416285408 has 144 divisors (see below), whose sum is σ = 229880641536. Its totient is φ = 20028591360.

The previous prime is 70416285389. The next prime is 70416285409. The reversal of 70416285408 is 80458261407.

70416285408 is a `hidden beast` number, since 7 + 0 + 4 + 162 + 85 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70416285409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371253 + ... + 527883.

It is an arithmetic number, because the mean of its divisors is an integer number (1596393344).

Almost surely, 270416285408 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 70416285408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114940320768).

70416285408 is an abundant number, since it is smaller than the sum of its proper divisors (159464356128).

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

70416285408 is a wasteful number, since it uses less digits than its factorization.

70416285408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156877 (or 156866 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 70416285408 in words is "seventy billion, four hundred sixteen million, two hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 223 224 252 288 336 446 504 669 672 892 1008 1338 1561 1784 2007 2016 2676 3122 3568 4014 4683 5352 6244 7136 8028 9366 10704 12488 14049 16056 18732 21408 24976 28098 32112 37464 49952 56196 64224 74928 112392 149856 156631 224784 313262 449568 469893 626524 939786 1096417 1253048 1409679 1879572 2192834 2506096 2819358 3289251 3759144 4385668 5012192 5638716 6578502 7518288 8771336 9867753 11277432 13157004 15036576 17542672 19735506 22554864 26314008 34928713 35085344 39471012 45109728 52628016 69857426 78942024 104786139 105256032 139714852 157884048 209572278 244500991 279429704 314358417 315768096 419144556 489001982 558859408 628716834 733502973 838289112 978003964 1117718816 1257433668 1467005946 1676578224 1956007928 2200508919 2514867336 2934011892 3353156448 3912015856 4401017838 5029734672 5868023784 7824031712 8802035676 10059469344 11736047568 17604071352 23472095136 35208142704 70416285408