Search a number
-
+
10160060505096 = 2331961794623539
BaseRepresentation
bin1001001111011001001011…
…0011000001110000001000
31022222021220002022101012210
42103312102303001300020
52312430300442130341
633335244541105120
72066016525240225
oct223662263016010
938867802271183
1010160060505096
113267948312597
1211811078581a0
13589121abac78
14271a6cab294c
15129446d82c16
hex93d92cc1c08

10160060505096 has 128 divisors (see below), whose sum is σ = 27519310080000. Its totient is φ = 3115894728960.

The previous prime is 10160060505059. The next prime is 10160060505097. The reversal of 10160060505096 is 69050506006101.

It is not an unprimeable number, because it can be changed into a prime (10160060505097) 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, 114306 + ... + 4509233.

It is an arithmetic number, because the mean of its divisors is an integer number (214994610000).

Almost surely, 210160060505096 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 10160060505096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759655040000).

10160060505096 is an abundant number, since it is smaller than the sum of its proper divisors (17359249574904).

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

10160060505096 is a wasteful number, since it uses less digits than its factorization.

10160060505096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623707 (or 4623703 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 10160060505096 in words is "ten trillion, one hundred sixty billion, sixty million, five hundred five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 79 114 122 152 158 183 228 237 244 316 366 456 474 488 632 732 948 1159 1464 1501 1896 2318 3002 3477 4503 4636 4819 6004 6954 9006 9272 9638 12008 13908 14457 18012 19276 27816 28914 36024 38552 57828 91561 115656 183122 274683 366244 549366 732488 1098732 2197464 4623539 9247078 13870617 18494156 27741234 36988312 55482468 87847241 110964936 175694482 263541723 282035879 351388964 365259581 527083446 564071758 702777928 730519162 846107637 1054166892 1095778743 1128143516 1461038324 1692215274 2108333784 2191557486 2256287032 2922076648 3384430548 4383114972 5358681701 6768861096 6939932039 8766229944 10717363402 13879864078 16076045103 20819796117 21434726804 22280834441 27759728156 32152090206 41639592234 42869453608 44561668882 55519456312 64304180412 66842503323 83279184468 89123337764 128608360824 133685006646 166558368936 178246675528 267370013292 423335854379 534740026584 846671708758 1270007563137 1693343417516 2540015126274 3386686835032 5080030252548 10160060505096