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38152219952 = 24711101379809
BaseRepresentation
bin100011100010000011…
…001010110100110000
310122110220010120210102
4203202003022310300
51111113432014302
625305450251532
72520306342650
oct434203126460
9118426116712
1038152219952
11151a8a2a5a0
127489126ba8
1337a03036a2
141bbd018360
15ed4691702
hex8e20cad30

38152219952 has 160 divisors (see below), whose sum is σ = 93433305600. Its totient is φ = 14660352000.

The previous prime is 38152219943. The next prime is 38152220083. The reversal of 38152219952 is 25991225183.

It is a junction number, because it is equal to n+sod(n) for n = 38152219897 and 38152219906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47159324 + ... + 47160132.

It is an arithmetic number, because the mean of its divisors is an integer number (583958160).

Almost surely, 238152219952 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 38152219952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46716652800).

38152219952 is an abundant number, since it is smaller than the sum of its proper divisors (55281085648).

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

38152219952 is a wasteful number, since it uses less digits than its factorization.

38152219952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its digits is 388800, while the sum is 47.

The spelling of 38152219952 in words is "thirty-eight billion, one hundred fifty-two million, two hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 101 112 154 176 202 308 379 404 616 707 758 808 809 1111 1232 1414 1516 1616 1618 2222 2653 2828 3032 3236 4169 4444 5306 5656 5663 6064 6472 7777 8338 8888 8899 10612 11312 11326 12944 15554 16676 17776 17798 21224 22652 29183 31108 33352 35596 38279 42448 45304 58366 62216 62293 66704 71192 76558 81709 90608 116732 124432 124586 142384 153116 163418 233464 249172 267953 306232 306611 326836 421069 466928 498344 535906 571963 612464 613222 653672 842138 898799 996688 1071812 1143926 1226444 1307344 1684276 1797598 2143624 2146277 2287852 2452888 2947483 3368552 3372721 3595196 4287248 4292554 4575704 4905776 5894966 6291593 6737104 6745442 7190392 8585108 9151408 11789932 12583186 13490884 14380784 17170216 23579864 23609047 25166372 26981768 30967711 34340432 47159728 47218094 50332744 53963536 61935422 94436188 100665488 123870844 188872376 216773977 247741688 340644821 377744752 433547954 495483376 681289642 867095908 1362579284 1734191816 2384513747 2725158568 3468383632 4769027494 5450317136 9538054988 19076109976 38152219952