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2057937696 = 253223674637
BaseRepresentation
bin111101010101001…
…1010001100100000
312022102101001210200
41322222122030200
513203313001241
6540112425200
7101666116233
oct17252321440
95272331720
102057937696
1196671a061
12495248200
1326a481719
1415745b41a
15c0a094b6
hex7aa9a320

2057937696 has 144 divisors (see below), whose sum is σ = 6199187904. Its totient is φ = 646221312.

The previous prime is 2057937677. The next prime is 2057937733. The reversal of 2057937696 is 6967397502.

2057937696 is a `hidden beast` number, since 2 + 0 + 579 + 3 + 7 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441490 + ... + 446126.

It is an arithmetic number, because the mean of its divisors is an integer number (43049916).

Almost surely, 22057937696 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 2057937696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099593952).

2057937696 is an abundant number, since it is smaller than the sum of its proper divisors (4141250208).

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

2057937696 is a wasteful number, since it uses less digits than its factorization.

2057937696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 2057937696 is about 45364.4981896637. The cubic root of 2057937696 is about 1271.9715788120.

The spelling of 2057937696 in words is "two billion, fifty-seven million, nine hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 67 69 72 92 96 134 138 144 184 201 207 268 276 288 368 402 414 536 552 603 736 804 828 1072 1104 1206 1541 1608 1656 2144 2208 2412 3082 3216 3312 4623 4637 4824 6164 6432 6624 9246 9274 9648 12328 13869 13911 18492 18548 19296 24656 27738 27822 36984 37096 41733 49312 55476 55644 73968 74192 83466 106651 110952 111288 147936 148384 166932 213302 221904 222576 310679 319953 333864 426604 443808 445152 621358 639906 667728 853208 932037 959859 1242716 1279812 1335456 1706416 1864074 1919718 2485432 2559624 2796111 3412832 3728148 3839436 4970864 5119248 5592222 7145617 7456296 7678872 9941728 10238496 11184444 14291234 14912592 15357744 21436851 22368888 28582468 29825184 30715488 42873702 44737776 57164936 64310553 85747404 89475552 114329872 128621106 171494808 228659744 257242212 342989616 514484424 685979232 1028968848 2057937696