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42011582452 = 22717834992131
BaseRepresentation
bin100111001000000101…
…011101111111110100
311000102212012111212021
4213020011131333310
51142014431114302
631144434002524
73015041362450
oct471005357764
9130385174767
1042011582452
11168a9496784
128185716444
133c66a53838
1420677dd660
15115d3d6437
hex9c815dff4

42011582452 has 96 divisors (see below), whose sum is σ = 90260352000. Its totient is φ = 16700290560.

The previous prime is 42011582413. The next prime is 42011582471. The reversal of 42011582452 is 25428511024.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 19713427 + ... + 19715557.

It is an arithmetic number, because the mean of its divisors is an integer number (940212000).

Almost surely, 242011582452 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 42011582452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45130176000).

42011582452 is an abundant number, since it is smaller than the sum of its proper divisors (48248769548).

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

42011582452 is a wasteful number, since it uses less digits than its factorization.

42011582452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The spelling of 42011582452 in words is "forty-two billion, eleven million, five hundred eighty-two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 83 119 166 238 332 476 499 581 998 1162 1411 1996 2131 2324 2822 3493 4262 5644 6986 8483 8524 9877 13972 14917 16966 19754 29834 33932 36227 39508 41417 59381 59668 72454 82834 118762 144908 165668 176873 237524 253589 289919 353746 507178 579838 704089 707492 1014356 1063369 1159676 1238111 1408178 2126738 2476222 2816356 3006841 4253476 4928623 4952444 6013682 7443583 9857246 12027364 14887166 18077273 19714492 21047887 29774332 36154546 42095774 72309092 84191548 88259627 126540911 176519254 253081822 353038508 506163644 617817389 1235634778 1500413659 2471269556 3000827318 6001654636 10502895613 21005791226 42011582452