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47340415100 = 225211217230143
BaseRepresentation
bin101100000101101101…
…010110100001111100
311112012020100021000102
4230011231112201330
51233423121240400
633425313220232
73264065613626
oct540555264174
9145166307012
1047340415100
1119093480600
129212261678
134605a66a54
14241141bc16
1513711449d5
hexb05b5687c

47340415100 has 108 divisors (see below), whose sum is σ = 119559347712. Its totient is φ = 16201996800.

The previous prime is 47340415097. The next prime is 47340415139. The reversal of 47340415100 is 151404374.

It is a happy number.

47340415100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×473404151002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90629 + ... + 320771.

Almost surely, 247340415100 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 47340415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59779673856).

47340415100 is an abundant number, since it is smaller than the sum of its proper divisors (72218932612).

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

47340415100 is a wasteful number, since it uses less digits than its factorization.

47340415100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230196 (or 230178 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 47340415100 its reverse (151404374), we get a palindrome (47491819474).

The spelling of 47340415100 in words is "forty-seven billion, three hundred forty million, four hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 170 187 220 242 275 340 374 425 484 550 605 748 850 935 1100 1210 1700 1870 2057 2420 3025 3740 4114 4675 6050 8228 9350 10285 12100 18700 20570 41140 51425 102850 205700 230143 460286 920572 1150715 2301430 2531573 3912431 4602860 5063146 5753575 7824862 10126292 11507150 12657865 15649724 19562155 23014300 25315730 27847303 39124310 43036741 50631460 55694606 63289325 78248620 86073482 97810775 111389212 126578650 139236515 172146964 195621550 215183705 253157300 278473030 391243100 430367410 473404151 556946060 696182575 860734820 946808302 1075918525 1392365150 1893616604 2151837050 2367020755 2784730300 4303674100 4734041510 9468083020 11835103775 23670207550 47340415100