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420525706752 = 29353379997
BaseRepresentation
bin1100001111010010100…
…10010000111000000000
31111012110011022022100000
412013221102100320000
523342214040104002
6521104205200000
742245006346444
oct6075122207000
91435404268300
10420525706752
11152386886708
1269601260000
1330869bcbb58
14164d4212824
15ae138a961c
hex61e9490e00

420525706752 has 120 divisors (see below), whose sum is σ = 1258616615256. Its totient is φ = 140175194112.

The previous prime is 420525706751. The next prime is 420525706753. The reversal of 420525706752 is 257607525024.

420525706752 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 2 + 570 + 6 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (420525706751) and next prime (420525706753).

It is a junction number, because it is equal to n+sod(n) for n = 420525706698 and 420525706707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420525706751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1565583 + ... + 1814414.

Almost surely, 2420525706752 is an apocalyptic number.

It is an amenable number.

420525706752 is an abundant number, since it is smaller than the sum of its proper divisors (838090908504).

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

420525706752 is an frugal number, since it uses more digits than its factorization.

420525706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380030 (or 3380002 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 420525706752 in words is "four hundred twenty billion, five hundred twenty-five million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 41472 62208 124416 3379997 6759994 10139991 13519988 20279982 27039976 30419973 40559964 54079952 60839946 81119928 91259919 108159904 121679892 162239856 182519838 216319808 243359784 273779757 324479712 365039676 432639616 486719568 547559514 648959424 730079352 821339271 865279232 973439136 1095119028 1297918848 1460158704 1642678542 1730558464 1946878272 2190238056 2595837696 2920317408 3285357084 3893756544 4380476112 5191675392 5840634816 6570714168 7787513088 8760952224 11681269632 13141428336 15575026176 17521904448 23362539264 26282856672 35043808896 46725078528 52565713344 70087617792 105131426688 140175235584 210262853376 420525706752