Search a number
-
+
1152226421016 = 2331125749934033
BaseRepresentation
bin10000110001000110000…
…010111110100100011000
311002011002122021211211020
4100301012002332210120
5122334224430433031
62241154151002440
7146150146660446
oct20610602764430
94064078254736
101152226421016
1140472485a110
12167386369420
1384867b9a588
143daa7791b96
151ee8aa31096
hex10c460be918

1152226421016 has 128 divisors (see below), whose sum is σ = 3161077920000. Its totient is φ = 347093729280.

The previous prime is 1152226420993. The next prime is 1152226421069. The reversal of 1152226421016 is 6101246222511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33839136 + ... + 33873168.

It is an arithmetic number, because the mean of its divisors is an integer number (24695921250).

Almost surely, 21152226421016 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 1152226421016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580538960000).

1152226421016 is an abundant number, since it is smaller than the sum of its proper divisors (2008851498984).

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

1152226421016 is a wasteful number, since it uses less digits than its factorization.

1152226421016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34809 (or 34805 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 1152226421016 in words is "one trillion, one hundred fifty-two billion, two hundred twenty-six million, four hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 499 514 771 998 1028 1497 1542 1996 2056 2827 2994 3084 3992 5489 5654 5988 6168 8481 10978 11308 11976 16467 16962 21956 22616 32934 33924 34033 43912 65868 67848 68066 102099 128243 131736 136132 204198 256486 272264 374363 384729 408396 512972 748726 769458 816792 1025944 1123089 1410673 1497452 1538916 2246178 2821346 2994904 3077832 4232019 4492356 5642692 8464038 8746481 8984712 11285384 16928076 16982467 17492962 26239443 33856152 33964934 34985924 50947401 52478886 67929868 69971848 96211291 101894802 104957772 135859736 186807137 192422582 203789604 209915544 288633873 373614274 384845164 407579208 560421411 577267746 747228548 769690328 1120842822 1154535492 1494457096 2241685644 2309070984 4364494019 4483371288 8728988038 13093482057 17457976076 26186964114 34915952152 48009434209 52373928228 96018868418 104747856456 144028302627 192037736836 288056605254 384075473672 576113210508 1152226421016