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2025947136 = 215337557
BaseRepresentation
bin111100011000001…
…1000000000000000
312020012011210000010
41320300120000000
513122120302021
6533011024520
7101130160263
oct17060300000
95205153003
102025947136
1194a65a084
1248659b140
132639606b5
141530d0cda
15bccda976
hex78c18000

2025947136 has 128 divisors (see below), whose sum is σ = 5558416560. Its totient is φ = 655884288.

The previous prime is 2025947113. The next prime is 2025947159. The reversal of 2025947136 is 6317495202.

It is an interprime number because it is at equal distance from previous prime (2025947113) and next prime (2025947159).

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2025947094 and 2025947103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3636970 + ... + 3637526.

Almost surely, 22025947136 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 2025947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779208280).

2025947136 is an abundant number, since it is smaller than the sum of its proper divisors (3532469424).

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

2025947136 is an frugal number, since it uses more digits than its factorization.

2025947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2025947136 is about 45010.5225030770. The cubic root of 2025947136 is about 1265.3462129965.

The spelling of 2025947136 in words is "two billion, twenty-five million, nine hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 557 592 768 888 1024 1114 1184 1536 1671 1776 2048 2228 2368 3072 3342 3552 4096 4456 4736 6144 6684 7104 8192 8912 9472 12288 13368 14208 16384 17824 18944 20609 24576 26736 28416 32768 35648 37888 41218 49152 53472 56832 61827 71296 75776 82436 98304 106944 113664 123654 142592 151552 164872 213888 227328 247308 285184 303104 329744 427776 454656 494616 570368 606208 659488 855552 909312 989232 1140736 1212416 1318976 1711104 1818624 1978464 2281472 2637952 3422208 3637248 3956928 4562944 5275904 6844416 7913856 9125888 10551808 13688832 15827712 18251776 21103616 27377664 31655424 42207232 54755328 63310848 84414464 126621696 168828928 253243392 337657856 506486784 675315712 1012973568 2025947136