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7112371611408 = 2437712683111121
BaseRepresentation
bin110011101111111101001…
…1000100010011100010000
3221011221021101222021222220
41213133322120202130100
51413012114113031113
623043213423101040
71332565125126510
oct147377230423420
927157241867886
107112371611408
1122a23813a0188
1296a512a41780
133c790328179b
141a83523a9840
15c5020b11523
hex677fa622710

7112371611408 has 160 divisors (see below), whose sum is σ = 21302311421952. Its totient is φ = 2002720204800.

The previous prime is 7112371611403. The next prime is 7112371611439. The reversal of 7112371611408 is 8041161732117.

It is a Cunningham number, because it is equal to 26669032-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7112371611408.

It is not an unprimeable number, because it can be changed into a prime (7112371611403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63950088 + ... + 64061208.

Almost surely, 27112371611408 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 7112371611408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10651155710976).

7112371611408 is an abundant number, since it is smaller than the sum of its proper divisors (14189939810544).

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

7112371611408 is a wasteful number, since it uses less digits than its factorization.

7112371611408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113893 (or 113887 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 7112371611408 in words is "seven trillion, one hundred twelve billion, three hundred seventy-one million, six hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2683 2982 3408 3976 5366 5964 7952 8049 10732 11928 16098 18781 21464 23856 32196 37562 42928 56343 64392 75124 111121 112686 128784 150248 190493 222242 225372 300496 333363 380986 444484 450744 571479 666726 761972 777847 888968 901488 1142958 1333451 1333452 1523944 1555694 1777936 2285916 2333541 2666902 2666904 3047888 3111388 4000353 4571832 4667082 5333804 5333808 6222776 7889591 8000706 9143664 9334164 10667608 12445552 15779182 16001412 18668328 21335216 23668773 31558364 32002824 37336656 47337546 55227137 63116728 64005648 94675092 110454274 126233456 165681411 189350184 220908548 298137643 331362822 378700368 441817096 596275286 662725644 883634192 894412929 1192550572 1325451288 1788825858 2086963501 2385101144 2650902576 3577651716 4173927002 4770202288 6260890503 7155303432 8347854004 12521781006 14310606864 16695708008 21167772653 25043562012 33391416016 42335545306 50087124024 63503317959 84671090612 100174248048 127006635918 148174408571 169342181224 254013271836 296348817142 338684362448 444523225713 508026543672 592697634284 889046451426 1016053087344 1185395268568 1778092902852 2370790537136 3556185805704 7112371611408