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21946504788 = 223213531794943
BaseRepresentation
bin10100011100000111…
…010001011001010100
32002122111012221211200
4110130013101121110
5324421301123123
614025421432500
71404566132655
oct243407213124
962574187750
1021946504788
11934225896a
124305a0b730
1320b9a41a10
1410c2a1752c
15886ab3143
hex51c1d1654

21946504788 has 144 divisors (see below), whose sum is σ = 61222936320. Its totient is φ = 6587013888.

The previous prime is 21946504759. The next prime is 21946504831. The reversal of 21946504788 is 88740564912.

It is a happy number.

21946504788 is a `hidden beast` number, since 2 + 19 + 46 + 504 + 7 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4437445 + ... + 4442387.

It is an arithmetic number, because the mean of its divisors is an integer number (425159280).

Almost surely, 221946504788 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 21946504788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30611468160).

21946504788 is an abundant number, since it is smaller than the sum of its proper divisors (39276431532).

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

21946504788 is a wasteful number, since it uses less digits than its factorization.

21946504788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21946504788 in words is "twenty-one billion, nine hundred forty-six million, five hundred four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 179 212 234 318 358 468 477 537 636 689 716 954 1074 1378 1611 1908 2067 2148 2327 2756 3222 4134 4654 4943 6201 6444 6981 8268 9308 9487 9886 12402 13962 14829 18974 19772 20943 24804 27924 28461 29658 37948 41886 44487 56922 59316 64259 83772 85383 88974 113844 123331 128518 170766 177948 192777 246662 257036 261979 341532 369993 385554 493324 523958 578331 739986 771108 785937 884797 1047916 1109979 1156662 1479972 1571874 1769594 2219958 2313324 2357811 2654391 3143748 3405727 3539188 4439916 4715622 5308782 6811454 7963173 9431244 10217181 10617564 11502361 13622908 15926346 20434362 23004722 30651543 31852692 34507083 40868724 46009444 46894241 61303086 69014166 93788482 103521249 122606172 138028332 140682723 187576964 207042498 281365446 414084996 422048169 562730892 609625133 844096338 1219250266 1688192676 1828875399 2438500532 3657750798 5486626197 7315501596 10973252394 21946504788