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2135192892 = 223737472311
BaseRepresentation
bin111111101000100…
…0111010100111100
312111210202001000020
41333101013110330
513333102133032
6551512332140
7103624561110
oct17721072474
95453661006
102135192892
119a6296028
124b70a4050
13280490661
1416380b740
15c76b9b2c
hex7f44753c

2135192892 has 144 divisors (see below), whose sum is σ = 5994014208. Its totient is φ = 579070080.

The previous prime is 2135192881. The next prime is 2135192893. The reversal of 2135192892 is 2982915312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135192893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6865417 + ... + 6865727.

Almost surely, 22135192892 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 2135192892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997007104).

2135192892 is an abundant number, since it is smaller than the sum of its proper divisors (3858821316).

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

2135192892 is a wasteful number, since it uses less digits than its factorization.

2135192892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 407 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 2135192892 is about 46208.1474634074. The cubic root of 2135192892 is about 1287.6931092128.

The spelling of 2135192892 in words is "two billion, one hundred thirty-five million, one hundred ninety-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 47 74 84 94 111 141 148 188 222 259 282 311 329 444 518 564 622 658 777 933 987 1036 1244 1316 1554 1739 1866 1974 2177 2209 3108 3478 3732 3948 4354 4418 5217 6531 6627 6956 8708 8836 10434 11507 12173 13062 13254 14617 15463 20868 23014 24346 26124 26508 29234 30926 34521 36519 43851 46028 46389 48692 58468 61852 69042 73038 80549 81733 87702 92778 102319 138084 146076 161098 163466 175404 185556 204638 241647 245199 306957 322196 326932 409276 483294 490398 540829 572131 613914 686999 966588 980796 1081658 1144262 1227828 1373998 1622487 1716393 2060997 2163316 2288524 2747996 3244974 3432786 3785803 4121994 4808993 6489948 6865572 7571606 8243988 9617986 11357409 14426979 15143212 19235972 22714818 25418963 28853958 45429636 50837926 57707916 76256889 101675852 152513778 177932741 305027556 355865482 533798223 711730964 1067596446 2135192892