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29369212380 = 223251921140699
BaseRepresentation
bin11011010110100010…
…101001110111011100
32210210210100120102200
4123112202221313130
5440122004244010
621254140051500
72056540120614
oct332642516734
983723316380
1029369212380
1111501177a52
125837833b90
132a007a9ba1
1415c8769a44
15b6d578cc0
hex6d68a9ddc

29369212380 has 144 divisors (see below), whose sum is σ = 94222128000. Its totient is φ = 7384245120.

The previous prime is 29369212343. The next prime is 29369212441. The reversal of 29369212380 is 8321296392.

It is a happy number.

29369212380 is a `hidden beast` number, since 29 + 36 + 9 + 212 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 701271 + ... + 741969.

Almost surely, 229369212380 is an apocalyptic number.

29369212380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29369212380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47111064000).

29369212380 is an abundant number, since it is smaller than the sum of its proper divisors (64852915620).

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

29369212380 is a wasteful number, since it uses less digits than its factorization.

29369212380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40944 (or 40939 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29369212380 in words is "twenty-nine billion, three hundred sixty-nine million, two hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 211 228 285 342 380 422 570 633 684 844 855 1055 1140 1266 1710 1899 2110 2532 3165 3420 3798 4009 4220 6330 7596 8018 9495 12027 12660 16036 18990 20045 24054 36081 37980 40090 40699 48108 60135 72162 80180 81398 120270 122097 144324 162796 180405 203495 240540 244194 360810 366291 406990 488388 610485 721620 732582 773281 813980 1220970 1465164 1546562 1831455 2319843 2441940 3093124 3662910 3866405 4639686 6959529 7325820 7732810 8587489 9279372 11599215 13919058 15465620 17174978 23198430 25762467 27838116 34349956 34797645 42937445 46396860 51524934 69595290 77287401 85874890 103049868 128812335 139190580 154574802 163162291 171749780 257624670 309149604 326324582 386437005 489486873 515249340 652649164 772874010 815811455 978973746 1468460619 1545748020 1631622910 1957947492 2447434365 2936921238 3263245820 4894868730 5873842476 7342303095 9789737460 14684606190 29369212380