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10145313110784 = 283193122427917
BaseRepresentation
bin1001001110100010001111…
…0010001011101100000000
31022220212211022111010101110
42103220203302023230000
52312210100124021114
633324405325203320
72064655213404435
oct223504362135400
938825738433343
1010145313110784
11326166a843a05
12117a290a00540
135879116b7647
14271070245b8c
15128d82319759
hex93a23c8bb00

10145313110784 has 144 divisors (see below), whose sum is σ = 29339305210880. Its totient is φ = 3100435107840.

The previous prime is 10145313110773. The next prime is 10145313110797. The reversal of 10145313110784 is 48701131354101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10761607 + ... + 11666310.

Almost surely, 210145313110784 is an apocalyptic number.

It is an amenable number.

10145313110784 is an abundant number, since it is smaller than the sum of its proper divisors (19193992100096).

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

10145313110784 is a wasteful number, since it uses less digits than its factorization.

10145313110784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427986 (or 22427972 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

Adding to 10145313110784 its reverse (48701131354101), we get a palindrome (58846444464885).

The spelling of 10145313110784 in words is "ten trillion, one hundred forty-five billion, three hundred thirteen million, one hundred ten thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 589 608 744 768 912 992 1178 1216 1488 1767 1824 1984 2356 2432 2976 3534 3648 3968 4712 4864 5952 7068 7296 7936 9424 11904 14136 14592 18848 23808 28272 37696 56544 75392 113088 150784 226176 452352 22427917 44855834 67283751 89711668 134567502 179423336 269135004 358846672 426130423 538270008 695265427 717693344 852260846 1076540016 1278391269 1390530854 1435386688 1704521692 2085796281 2153080032 2556782538 2781061708 2870773376 3409043384 4171592562 4306160064 5113565076 5562123416 5741546752 6818086768 8343185124 8612320128 10227130152 11124246832 13210043113 13636173536 16686370248 17224640256 20454260304 22248493664 26420086226 27272347072 33372740496 39630129339 40908520608 44496987328 52840172452 54544694144 66745480992 79260258678 81817041216 88993974656 105680344904 109089388288 133490961984 158520517356 163634082432 177987949312 211360689808 266981923968 317041034712 327268164864 422721379616 533963847936 634082069424 845442759232 1268164138848 1690885518464 2536328277696 3381771036928 5072656555392 10145313110784