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1147930434912 = 25323361783177
BaseRepresentation
bin10000101101000101111…
…111000101110101100000
311001202000020122010202210
4100231011333011311200
5122301430142404122
62235204005042120
7145635533462562
oct20550577056540
94052006563683
101147930434912
1140291a893178
121665876b6340
1384331b55071
143d7badd1332
151ecd87e140c
hex10b45fc5d60

1147930434912 has 96 divisors (see below), whose sum is σ = 3031191307872. Its totient is φ = 380379152384.

The previous prime is 1147930434851. The next prime is 1147930434913. The reversal of 1147930434912 is 2194340397411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147930434913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13759468 + ... + 13842644.

It is an arithmetic number, because the mean of its divisors is an integer number (31574909457).

Almost surely, 21147930434912 is an apocalyptic number.

1147930434912 is a gapful number since it is divisible by the number (12) 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 1147930434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515595653936).

1147930434912 is an abundant number, since it is smaller than the sum of its proper divisors (1883260872960).

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

1147930434912 is a wasteful number, since it uses less digits than its factorization.

1147930434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84040 (or 84032 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1147930434912 in words is "one trillion, one hundred forty-seven billion, nine hundred thirty million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 617 699 932 1234 1398 1851 1864 2468 2796 3702 3728 4936 5592 7404 7456 9872 11184 14808 19744 22368 29616 59232 83177 143761 166354 249531 287522 332708 431283 499062 575044 665416 862566 998124 1150088 1330832 1725132 1996248 2300176 2661664 3450264 3992496 4600352 6900528 7984992 13801056 19380241 38760482 51320209 58140723 77520964 102640418 116281446 153960627 155041928 205280836 232562892 307921254 310083856 410561672 465125784 615842508 620167712 821123344 930251568 1231685016 1642246688 1860503136 2463370032 4926740064 11957608697 23915217394 35872826091 47830434788 71745652182 95660869576 143491304364 191321739152 286982608728 382643478304 573965217456 1147930434912