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49980457464 = 2337223280341
BaseRepresentation
bin101110100011000100…
…010100000111111000
311210000020001022022020
4232203010110013320
51304324444114324
634543302354440
73416363610300
oct564304240770
9153006038266
1049980457464
111a2187354a3
12982a42ba20
1349369b98b2
1425c1cc4600
151477cd4679
hexba31141f8

49980457464 has 144 divisors (see below), whose sum is σ = 151947610920. Its totient is φ = 13659085440.

The previous prime is 49980457393. The next prime is 49980457489. The reversal of 49980457464 is 46475408994.

It is a super-2 number, since 2×499804574642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49980457398 and 49980457407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581934 + ... + 662274.

Almost surely, 249980457464 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 49980457464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75973805460).

49980457464 is an abundant number, since it is smaller than the sum of its proper divisors (101967153456).

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

49980457464 is a wasteful number, since it uses less digits than its factorization.

49980457464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80410 (or 80376 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 49980457464 in words is "forty-nine billion, nine hundred eighty million, four hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 529 552 588 644 966 1058 1127 1176 1288 1587 1932 2116 2254 3174 3381 3703 3864 4232 4508 6348 6762 7406 9016 11109 12696 13524 14812 22218 25921 27048 29624 44436 51842 77763 80341 88872 103684 155526 160682 207368 241023 311052 321364 482046 562387 622104 642728 964092 1124774 1687161 1847843 1928184 2249548 3374322 3695686 3936709 4499096 5543529 6748644 7391372 7873418 11087058 11810127 12934901 13497288 14782744 15746836 22174116 23620254 25869802 31493672 38804703 42500389 44348232 47240508 51739604 77609406 85000778 90544307 94481016 103479208 127501167 155218812 170001556 181088614 255002334 271632921 297502723 310437624 340003112 362177228 510004668 543265842 595005446 724354456 892508169 1020009336 1086531684 1190010892 1785016338 2082519061 2173063368 2380021784 3570032676 4165038122 6247557183 7140065352 8330076244 12495114366 16660152488 24990228732 49980457464