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1127661674994 = 2342331733307
BaseRepresentation
bin10000011010001101110…
…111111010000111110010
310222210200200101110020000
4100122031313322013302
5121433422342044434
62222012435130430
7144320336041221
oct20321567720762
93883620343200
101127661674994
113a5269687918
1216266b743a16
1382451899bba
143c817148cb8
151e4ee187b99
hex1068ddfa1f2

1127661674994 has 160 divisors (see below), whose sum is σ = 2657715477120. Its totient is φ = 357357917664.

The previous prime is 1127661674969. The next prime is 1127661674999. The reversal of 1127661674994 is 4994761667211.

1127661674994 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 6 + 616 + 7 + 4 + 9 + 9 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1127661674999) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 340990689 + ... + 340993995.

It is an arithmetic number, because the mean of its divisors is an integer number (16610721732).

Almost surely, 21127661674994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127661674994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328857738560).

1127661674994 is an abundant number, since it is smaller than the sum of its proper divisors (1530053802126).

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

1127661674994 is an equidigital number, since it uses as much as digits as its factorization.

1127661674994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3508 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 1127661674994 in words is "one trillion, one hundred twenty-seven billion, six hundred sixty-one million, six hundred seventy-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 173 207 346 414 519 529 621 1038 1058 1242 1557 1587 1863 3114 3174 3307 3726 3979 4671 4761 6614 7958 9342 9522 9921 11937 12167 14013 14283 19842 23874 24334 28026 28566 29763 35811 36501 42849 59526 71622 73002 76061 85698 89289 91517 107433 109503 152122 178578 183034 214866 219006 228183 267867 274551 322299 328509 456366 535734 549102 572111 644598 657018 684549 823653 985527 1144222 1369098 1647306 1716333 1749403 1971054 2053647 2104891 2470959 3432666 3498806 4107294 4209782 4941918 5148999 5248209 6160941 6314673 7412877 10297998 10496418 12321882 12629346 13158553 14825754 15446997 15744627 18944019 26317106 30893994 31489254 37888038 39475659 40236269 46340991 47233881 56832057 78951318 80472538 92681982 94467762 113664114 118426977 120708807 141701643 170496171 236853954 241417614 283403286 302646719 340992342 355280931 362126421 605293438 710561862 724252842 907940157 1065842793 1086379263 1815880314 2131685586 2172758526 2723820471 3259137789 5447640942 6518275578 6960874537 8171461413 13921749074 16342922826 20882623611 24514384239 41765247222 49028768478 62647870833 125295741666 187943612499 375887224998 563830837497 1127661674994