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42211674624 = 293710736691
BaseRepresentation
bin100111010100000000…
…110000101000000000
311000221210201020201110
4213110000300220000
51142422142041444
631220342403320
73023021212530
oct472400605000
9130853636643
1042211674624
11169a1431a09
128220730540
133c99340a82
1420862074c0
151170c5ccb9
hex9d4030a00

42211674624 has 160 divisors (see below), whose sum is σ = 129724125696. Its totient is φ = 11947438080.

The previous prime is 42211674601. The next prime is 42211674647. The reversal of 42211674624 is 42647611224.

It is an interprime number because it is at equal distance from previous prime (42211674601) and next prime (42211674647).

It is a nude number because it is divisible by every one of its digits.

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, 1132119 + ... + 1168809.

Almost surely, 242211674624 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 42211674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64862062848).

42211674624 is an abundant number, since it is smaller than the sum of its proper divisors (87512451072).

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

42211674624 is a wasteful number, since it uses less digits than its factorization.

42211674624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36826 (or 36810 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The spelling of 42211674624 in words is "forty-two billion, two hundred eleven million, six hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 256 321 336 384 428 448 512 642 672 749 768 856 896 1284 1344 1498 1536 1712 1792 2247 2568 2688 2996 3424 3584 4494 5136 5376 5992 6848 8988 10272 10752 11984 13696 17976 20544 23968 27392 35952 36691 41088 47936 54784 71904 73382 82176 95872 110073 143808 146764 164352 191744 220146 256837 287616 293528 383488 440292 513674 575232 587056 770511 880584 1027348 1150464 1174112 1541022 1761168 2054696 2348224 3082044 3522336 3925937 4109392 4696448 6164088 7044672 7851874 8218784 9392896 11777811 12328176 14089344 15703748 16437568 18785792 23555622 24656352 27481559 28178688 31407496 32875136 47111244 49312704 54963118 56357376 62814992 65750272 82444677 94222488 98625408 109926236 125629984 131500544 164889354 188444976 197250816 219852472 251259968 329778708 376889952 394501632 439704944 502519936 659557416 753779904 879409888 1005039872 1319114832 1507559808 1758819776 2010079744 2638229664 3015119616 3517639552 5276459328 6030239232 7035279104 10552918656 14070558208 21105837312 42211674624