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2507869301472 = 253217230131071
BaseRepresentation
bin100100011111101000101…
…010001010101011100000
322212202020201112111102200
4210133220222022223200
5312042104020121342
65200033234413200
7346121224224333
oct44375052125340
98782221474380
102507869301472
11887643927a17
12346060431200
1315264cb23842
148954ac7861a
154537e8e094c
hex247e8a8aae0

2507869301472 has 108 divisors (see below), whose sum is σ = 7575945826176. Its totient is φ = 786782499840.

The previous prime is 2507869301461. The next prime is 2507869301477. The reversal of 2507869301472 is 2741039687052.

It is a happy number.

2507869301472 is a `hidden beast` number, since 2 + 5 + 0 + 7 + 86 + 93 + 0 + 1 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507869301477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14982304 + ... + 15148767.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2507869301472 = 5015738602944, but 3⋅2507869301472 = 7523607904416 is not.

Almost surely, 22507869301472 is an apocalyptic number.

It is an amenable number.

2507869301472 is an abundant number, since it is smaller than the sum of its proper divisors (5068076524704).

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

2507869301472 is a wasteful number, since it uses less digits than its factorization.

2507869301472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30131121 (or 30131093 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2507869301472 in words is "two trillion, five hundred seven billion, eight hundred sixty-nine million, three hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 6936 9248 10404 13872 20808 27744 41616 83232 30131071 60262142 90393213 120524284 180786426 241048568 271179639 361572852 482097136 512228207 542359278 723145704 964194272 1024456414 1084718556 1446291408 1536684621 2048912828 2169437112 2892582816 3073369242 4097825656 4338874224 4610053863 6146738484 8195651312 8677748448 8707879519 9220107726 12293476968 16391302624 17415759038 18440215452 24586953936 26123638557 34831518076 36880430904 49173907872 52247277114 69663036152 73760861808 78370915671 104494554228 139326072304 147521723616 156741831342 208989108456 278652144608 313483662684 417978216912 626967325368 835956433824 1253934650736 2507869301472