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21915912672 = 2532195876823
BaseRepresentation
bin10100011010010010…
…100100100111100000
32002120100122201100100
4110122102210213200
5324340433201142
614022410022400
71404045120063
oct243222444740
962510581310
1021915912672
119326a63625
1242b7717a00
1320b35c0384
1410bc9328da
1588406db4c
hex51a4a49e0

21915912672 has 144 divisors (see below), whose sum is σ = 65724946560. Its totient is φ = 6908011776.

The previous prime is 21915912659. The next prime is 21915912701. The reversal of 21915912672 is 27621951912.

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

It is a congruent number.

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, 3208653 + ... + 3215475.

It is an arithmetic number, because the mean of its divisors is an integer number (456423240).

Almost surely, 221915912672 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 21915912672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32862473280).

21915912672 is an abundant number, since it is smaller than the sum of its proper divisors (43809033888).

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

21915912672 is a wasteful number, since it uses less digits than its factorization.

21915912672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7445 (or 7434 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 21915912672 in words is "twenty-one billion, nine hundred fifteen million, nine hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 587 608 684 912 1174 1368 1761 1824 2348 2736 3522 4696 5283 5472 6823 7044 9392 10566 11153 13646 14088 18784 20469 21132 22306 27292 28176 33459 40938 42264 44612 54584 56352 61407 66918 81876 84528 89224 100377 109168 122814 129637 133836 163752 169056 178448 200754 218336 245628 259274 267672 327504 356896 388911 401508 491256 518548 535344 655008 777822 803016 982512 1037096 1070688 1166733 1555644 1606032 1965024 2074192 2333466 3111288 3212064 4005101 4148384 4666932 6222576 8010202 9333864 12015303 12445152 16020404 18667728 24030606 32040808 36045909 37335456 48061212 64081616 72091818 76096919 96122424 128163232 144183636 152193838 192244848 228290757 288367272 304387676 384489696 456581514 576734544 608775352 684872271 913163028 1153469088 1217550704 1369744542 1826326056 2435101408 2739489084 3652652112 5478978168 7305304224 10957956336 21915912672